Identifier
- St000411: Binary trees ⟶ ℤ
Values
[.,[.,.]] => 2
[[.,.],.] => 2
[.,[.,[.,.]]] => 6
[.,[[.,.],.]] => 6
[[.,.],[.,.]] => 3
[[.,[.,.]],.] => 6
[[[.,.],.],.] => 6
[.,[.,[.,[.,.]]]] => 24
[.,[.,[[.,.],.]]] => 24
[.,[[.,.],[.,.]]] => 12
[.,[[.,[.,.]],.]] => 24
[.,[[[.,.],.],.]] => 24
[[.,.],[.,[.,.]]] => 8
[[.,.],[[.,.],.]] => 8
[[.,[.,.]],[.,.]] => 8
[[[.,.],.],[.,.]] => 8
[[.,[.,[.,.]]],.] => 24
[[.,[[.,.],.]],.] => 24
[[[.,.],[.,.]],.] => 12
[[[.,[.,.]],.],.] => 24
[[[[.,.],.],.],.] => 24
[.,[.,[.,[.,[.,.]]]]] => 120
[.,[.,[.,[[.,.],.]]]] => 120
[.,[.,[[.,.],[.,.]]]] => 60
[.,[.,[[.,[.,.]],.]]] => 120
[.,[.,[[[.,.],.],.]]] => 120
[.,[[.,.],[.,[.,.]]]] => 40
[.,[[.,.],[[.,.],.]]] => 40
[.,[[.,[.,.]],[.,.]]] => 40
[.,[[[.,.],.],[.,.]]] => 40
[.,[[.,[.,[.,.]]],.]] => 120
[.,[[.,[[.,.],.]],.]] => 120
[.,[[[.,.],[.,.]],.]] => 60
[.,[[[.,[.,.]],.],.]] => 120
[.,[[[[.,.],.],.],.]] => 120
[[.,.],[.,[.,[.,.]]]] => 30
[[.,.],[.,[[.,.],.]]] => 30
[[.,.],[[.,.],[.,.]]] => 15
[[.,.],[[.,[.,.]],.]] => 30
[[.,.],[[[.,.],.],.]] => 30
[[.,[.,.]],[.,[.,.]]] => 20
[[.,[.,.]],[[.,.],.]] => 20
[[[.,.],.],[.,[.,.]]] => 20
[[[.,.],.],[[.,.],.]] => 20
[[.,[.,[.,.]]],[.,.]] => 30
[[.,[[.,.],.]],[.,.]] => 30
[[[.,.],[.,.]],[.,.]] => 15
[[[.,[.,.]],.],[.,.]] => 30
[[[[.,.],.],.],[.,.]] => 30
[[.,[.,[.,[.,.]]]],.] => 120
[[.,[.,[[.,.],.]]],.] => 120
[[.,[[.,.],[.,.]]],.] => 60
[[.,[[.,[.,.]],.]],.] => 120
[[.,[[[.,.],.],.]],.] => 120
[[[.,.],[.,[.,.]]],.] => 40
[[[.,.],[[.,.],.]],.] => 40
[[[.,[.,.]],[.,.]],.] => 40
[[[[.,.],.],[.,.]],.] => 40
[[[.,[.,[.,.]]],.],.] => 120
[[[.,[[.,.],.]],.],.] => 120
[[[[.,.],[.,.]],.],.] => 60
[[[[.,[.,.]],.],.],.] => 120
[[[[[.,.],.],.],.],.] => 120
[.,[.,[.,[.,[.,[.,.]]]]]] => 720
[.,[.,[.,[.,[[.,.],.]]]]] => 720
[.,[.,[.,[[.,.],[.,.]]]]] => 360
[.,[.,[.,[[.,[.,.]],.]]]] => 720
[.,[.,[.,[[[.,.],.],.]]]] => 720
[.,[.,[[.,.],[.,[.,.]]]]] => 240
[.,[.,[[.,.],[[.,.],.]]]] => 240
[.,[.,[[.,[.,.]],[.,.]]]] => 240
[.,[.,[[[.,.],.],[.,.]]]] => 240
[.,[.,[[.,[.,[.,.]]],.]]] => 720
[.,[.,[[.,[[.,.],.]],.]]] => 720
[.,[.,[[[.,.],[.,.]],.]]] => 360
[.,[.,[[[.,[.,.]],.],.]]] => 720
[.,[.,[[[[.,.],.],.],.]]] => 720
[.,[[.,.],[.,[.,[.,.]]]]] => 180
[.,[[.,.],[.,[[.,.],.]]]] => 180
[.,[[.,.],[[.,.],[.,.]]]] => 90
[.,[[.,.],[[.,[.,.]],.]]] => 180
[.,[[.,.],[[[.,.],.],.]]] => 180
[.,[[.,[.,.]],[.,[.,.]]]] => 120
[.,[[.,[.,.]],[[.,.],.]]] => 120
[.,[[[.,.],.],[.,[.,.]]]] => 120
[.,[[[.,.],.],[[.,.],.]]] => 120
[.,[[.,[.,[.,.]]],[.,.]]] => 180
[.,[[.,[[.,.],.]],[.,.]]] => 180
[.,[[[.,.],[.,.]],[.,.]]] => 90
[.,[[[.,[.,.]],.],[.,.]]] => 180
[.,[[[[.,.],.],.],[.,.]]] => 180
[.,[[.,[.,[.,[.,.]]]],.]] => 720
[.,[[.,[.,[[.,.],.]]],.]] => 720
[.,[[.,[[.,.],[.,.]]],.]] => 360
[.,[[.,[[.,[.,.]],.]],.]] => 720
[.,[[.,[[[.,.],.],.]],.]] => 720
[.,[[[.,.],[.,[.,.]]],.]] => 240
[.,[[[.,.],[[.,.],.]],.]] => 240
[.,[[[.,[.,.]],[.,.]],.]] => 240
[.,[[[[.,.],.],[.,.]],.]] => 240
[.,[[[.,[.,[.,.]]],.],.]] => 720
>>> Load all 1200 entries. <<<[.,[[[.,[[.,.],.]],.],.]] => 720
[.,[[[[.,.],[.,.]],.],.]] => 360
[.,[[[[.,[.,.]],.],.],.]] => 720
[.,[[[[[.,.],.],.],.],.]] => 720
[[.,.],[.,[.,[.,[.,.]]]]] => 144
[[.,.],[.,[.,[[.,.],.]]]] => 144
[[.,.],[.,[[.,.],[.,.]]]] => 72
[[.,.],[.,[[.,[.,.]],.]]] => 144
[[.,.],[.,[[[.,.],.],.]]] => 144
[[.,.],[[.,.],[.,[.,.]]]] => 48
[[.,.],[[.,.],[[.,.],.]]] => 48
[[.,.],[[.,[.,.]],[.,.]]] => 48
[[.,.],[[[.,.],.],[.,.]]] => 48
[[.,.],[[.,[.,[.,.]]],.]] => 144
[[.,.],[[.,[[.,.],.]],.]] => 144
[[.,.],[[[.,.],[.,.]],.]] => 72
[[.,.],[[[.,[.,.]],.],.]] => 144
[[.,.],[[[[.,.],.],.],.]] => 144
[[.,[.,.]],[.,[.,[.,.]]]] => 72
[[.,[.,.]],[.,[[.,.],.]]] => 72
[[.,[.,.]],[[.,.],[.,.]]] => 36
[[.,[.,.]],[[.,[.,.]],.]] => 72
[[.,[.,.]],[[[.,.],.],.]] => 72
[[[.,.],.],[.,[.,[.,.]]]] => 72
[[[.,.],.],[.,[[.,.],.]]] => 72
[[[.,.],.],[[.,.],[.,.]]] => 36
[[[.,.],.],[[.,[.,.]],.]] => 72
[[[.,.],.],[[[.,.],.],.]] => 72
[[.,[.,[.,.]]],[.,[.,.]]] => 72
[[.,[.,[.,.]]],[[.,.],.]] => 72
[[.,[[.,.],.]],[.,[.,.]]] => 72
[[.,[[.,.],.]],[[.,.],.]] => 72
[[[.,.],[.,.]],[.,[.,.]]] => 36
[[[.,.],[.,.]],[[.,.],.]] => 36
[[[.,[.,.]],.],[.,[.,.]]] => 72
[[[.,[.,.]],.],[[.,.],.]] => 72
[[[[.,.],.],.],[.,[.,.]]] => 72
[[[[.,.],.],.],[[.,.],.]] => 72
[[.,[.,[.,[.,.]]]],[.,.]] => 144
[[.,[.,[[.,.],.]]],[.,.]] => 144
[[.,[[.,.],[.,.]]],[.,.]] => 72
[[.,[[.,[.,.]],.]],[.,.]] => 144
[[.,[[[.,.],.],.]],[.,.]] => 144
[[[.,.],[.,[.,.]]],[.,.]] => 48
[[[.,.],[[.,.],.]],[.,.]] => 48
[[[.,[.,.]],[.,.]],[.,.]] => 48
[[[[.,.],.],[.,.]],[.,.]] => 48
[[[.,[.,[.,.]]],.],[.,.]] => 144
[[[.,[[.,.],.]],.],[.,.]] => 144
[[[[.,.],[.,.]],.],[.,.]] => 72
[[[[.,[.,.]],.],.],[.,.]] => 144
[[[[[.,.],.],.],.],[.,.]] => 144
[[.,[.,[.,[.,[.,.]]]]],.] => 720
[[.,[.,[.,[[.,.],.]]]],.] => 720
[[.,[.,[[.,.],[.,.]]]],.] => 360
[[.,[.,[[.,[.,.]],.]]],.] => 720
[[.,[.,[[[.,.],.],.]]],.] => 720
[[.,[[.,.],[.,[.,.]]]],.] => 240
[[.,[[.,.],[[.,.],.]]],.] => 240
[[.,[[.,[.,.]],[.,.]]],.] => 240
[[.,[[[.,.],.],[.,.]]],.] => 240
[[.,[[.,[.,[.,.]]],.]],.] => 720
[[.,[[.,[[.,.],.]],.]],.] => 720
[[.,[[[.,.],[.,.]],.]],.] => 360
[[.,[[[.,[.,.]],.],.]],.] => 720
[[.,[[[[.,.],.],.],.]],.] => 720
[[[.,.],[.,[.,[.,.]]]],.] => 180
[[[.,.],[.,[[.,.],.]]],.] => 180
[[[.,.],[[.,.],[.,.]]],.] => 90
[[[.,.],[[.,[.,.]],.]],.] => 180
[[[.,.],[[[.,.],.],.]],.] => 180
[[[.,[.,.]],[.,[.,.]]],.] => 120
[[[.,[.,.]],[[.,.],.]],.] => 120
[[[[.,.],.],[.,[.,.]]],.] => 120
[[[[.,.],.],[[.,.],.]],.] => 120
[[[.,[.,[.,.]]],[.,.]],.] => 180
[[[.,[[.,.],.]],[.,.]],.] => 180
[[[[.,.],[.,.]],[.,.]],.] => 90
[[[[.,[.,.]],.],[.,.]],.] => 180
[[[[[.,.],.],.],[.,.]],.] => 180
[[[.,[.,[.,[.,.]]]],.],.] => 720
[[[.,[.,[[.,.],.]]],.],.] => 720
[[[.,[[.,.],[.,.]]],.],.] => 360
[[[.,[[.,[.,.]],.]],.],.] => 720
[[[.,[[[.,.],.],.]],.],.] => 720
[[[[.,.],[.,[.,.]]],.],.] => 240
[[[[.,.],[[.,.],.]],.],.] => 240
[[[[.,[.,.]],[.,.]],.],.] => 240
[[[[[.,.],.],[.,.]],.],.] => 240
[[[[.,[.,[.,.]]],.],.],.] => 720
[[[[.,[[.,.],.]],.],.],.] => 720
[[[[[.,.],[.,.]],.],.],.] => 360
[[[[[.,[.,.]],.],.],.],.] => 720
[[[[[[.,.],.],.],.],.],.] => 720
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 5040
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => 5040
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => 2520
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5040
[.,[.,[.,[.,[[[.,.],.],.]]]]] => 5040
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1680
[.,[.,[.,[[.,.],[[.,.],.]]]]] => 1680
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1680
[.,[.,[.,[[[.,.],.],[.,.]]]]] => 1680
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => 5040
[.,[.,[.,[[.,[[.,.],.]],.]]]] => 5040
[.,[.,[.,[[[.,.],[.,.]],.]]]] => 2520
[.,[.,[.,[[[.,[.,.]],.],.]]]] => 5040
[.,[.,[.,[[[[.,.],.],.],.]]]] => 5040
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1260
[.,[.,[[.,.],[.,[[.,.],.]]]]] => 1260
[.,[.,[[.,.],[[.,.],[.,.]]]]] => 630
[.,[.,[[.,.],[[.,[.,.]],.]]]] => 1260
[.,[.,[[.,.],[[[.,.],.],.]]]] => 1260
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => 840
[.,[.,[[.,[.,.]],[[.,.],.]]]] => 840
[.,[.,[[[.,.],.],[.,[.,.]]]]] => 840
[.,[.,[[[.,.],.],[[.,.],.]]]] => 840
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1260
[.,[.,[[.,[[.,.],.]],[.,.]]]] => 1260
[.,[.,[[[.,.],[.,.]],[.,.]]]] => 630
[.,[.,[[[.,[.,.]],.],[.,.]]]] => 1260
[.,[.,[[[[.,.],.],.],[.,.]]]] => 1260
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => 5040
[.,[.,[[.,[.,[[.,.],.]]],.]]] => 5040
[.,[.,[[.,[[.,.],[.,.]]],.]]] => 2520
[.,[.,[[.,[[.,[.,.]],.]],.]]] => 5040
[.,[.,[[.,[[[.,.],.],.]],.]]] => 5040
[.,[.,[[[.,.],[.,[.,.]]],.]]] => 1680
[.,[.,[[[.,.],[[.,.],.]],.]]] => 1680
[.,[.,[[[.,[.,.]],[.,.]],.]]] => 1680
[.,[.,[[[[.,.],.],[.,.]],.]]] => 1680
[.,[.,[[[.,[.,[.,.]]],.],.]]] => 5040
[.,[.,[[[.,[[.,.],.]],.],.]]] => 5040
[.,[.,[[[[.,.],[.,.]],.],.]]] => 2520
[.,[.,[[[[.,[.,.]],.],.],.]]] => 5040
[.,[.,[[[[[.,.],.],.],.],.]]] => 5040
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => 1008
[.,[[.,.],[.,[.,[[.,.],.]]]]] => 1008
[.,[[.,.],[.,[[.,.],[.,.]]]]] => 504
[.,[[.,.],[.,[[.,[.,.]],.]]]] => 1008
[.,[[.,.],[.,[[[.,.],.],.]]]] => 1008
[.,[[.,.],[[.,.],[.,[.,.]]]]] => 336
[.,[[.,.],[[.,.],[[.,.],.]]]] => 336
[.,[[.,.],[[.,[.,.]],[.,.]]]] => 336
[.,[[.,.],[[[.,.],.],[.,.]]]] => 336
[.,[[.,.],[[.,[.,[.,.]]],.]]] => 1008
[.,[[.,.],[[.,[[.,.],.]],.]]] => 1008
[.,[[.,.],[[[.,.],[.,.]],.]]] => 504
[.,[[.,.],[[[.,[.,.]],.],.]]] => 1008
[.,[[.,.],[[[[.,.],.],.],.]]] => 1008
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => 504
[.,[[.,[.,.]],[.,[[.,.],.]]]] => 504
[.,[[.,[.,.]],[[.,.],[.,.]]]] => 252
[.,[[.,[.,.]],[[.,[.,.]],.]]] => 504
[.,[[.,[.,.]],[[[.,.],.],.]]] => 504
[.,[[[.,.],.],[.,[.,[.,.]]]]] => 504
[.,[[[.,.],.],[.,[[.,.],.]]]] => 504
[.,[[[.,.],.],[[.,.],[.,.]]]] => 252
[.,[[[.,.],.],[[.,[.,.]],.]]] => 504
[.,[[[.,.],.],[[[.,.],.],.]]] => 504
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => 504
[.,[[.,[.,[.,.]]],[[.,.],.]]] => 504
[.,[[.,[[.,.],.]],[.,[.,.]]]] => 504
[.,[[.,[[.,.],.]],[[.,.],.]]] => 504
[.,[[[.,.],[.,.]],[.,[.,.]]]] => 252
[.,[[[.,.],[.,.]],[[.,.],.]]] => 252
[.,[[[.,[.,.]],.],[.,[.,.]]]] => 504
[.,[[[.,[.,.]],.],[[.,.],.]]] => 504
[.,[[[[.,.],.],.],[.,[.,.]]]] => 504
[.,[[[[.,.],.],.],[[.,.],.]]] => 504
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1008
[.,[[.,[.,[[.,.],.]]],[.,.]]] => 1008
[.,[[.,[[.,.],[.,.]]],[.,.]]] => 504
[.,[[.,[[.,[.,.]],.]],[.,.]]] => 1008
[.,[[.,[[[.,.],.],.]],[.,.]]] => 1008
[.,[[[.,.],[.,[.,.]]],[.,.]]] => 336
[.,[[[.,.],[[.,.],.]],[.,.]]] => 336
[.,[[[.,[.,.]],[.,.]],[.,.]]] => 336
[.,[[[[.,.],.],[.,.]],[.,.]]] => 336
[.,[[[.,[.,[.,.]]],.],[.,.]]] => 1008
[.,[[[.,[[.,.],.]],.],[.,.]]] => 1008
[.,[[[[.,.],[.,.]],.],[.,.]]] => 504
[.,[[[[.,[.,.]],.],.],[.,.]]] => 1008
[.,[[[[[.,.],.],.],.],[.,.]]] => 1008
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => 5040
[.,[[.,[.,[.,[[.,.],.]]]],.]] => 5040
[.,[[.,[.,[[.,.],[.,.]]]],.]] => 2520
[.,[[.,[.,[[.,[.,.]],.]]],.]] => 5040
[.,[[.,[.,[[[.,.],.],.]]],.]] => 5040
[.,[[.,[[.,.],[.,[.,.]]]],.]] => 1680
[.,[[.,[[.,.],[[.,.],.]]],.]] => 1680
[.,[[.,[[.,[.,.]],[.,.]]],.]] => 1680
[.,[[.,[[[.,.],.],[.,.]]],.]] => 1680
[.,[[.,[[.,[.,[.,.]]],.]],.]] => 5040
[.,[[.,[[.,[[.,.],.]],.]],.]] => 5040
[.,[[.,[[[.,.],[.,.]],.]],.]] => 2520
[.,[[.,[[[.,[.,.]],.],.]],.]] => 5040
[.,[[.,[[[[.,.],.],.],.]],.]] => 5040
[.,[[[.,.],[.,[.,[.,.]]]],.]] => 1260
[.,[[[.,.],[.,[[.,.],.]]],.]] => 1260
[.,[[[.,.],[[.,.],[.,.]]],.]] => 630
[.,[[[.,.],[[.,[.,.]],.]],.]] => 1260
[.,[[[.,.],[[[.,.],.],.]],.]] => 1260
[.,[[[.,[.,.]],[.,[.,.]]],.]] => 840
[.,[[[.,[.,.]],[[.,.],.]],.]] => 840
[.,[[[[.,.],.],[.,[.,.]]],.]] => 840
[.,[[[[.,.],.],[[.,.],.]],.]] => 840
[.,[[[.,[.,[.,.]]],[.,.]],.]] => 1260
[.,[[[.,[[.,.],.]],[.,.]],.]] => 1260
[.,[[[[.,.],[.,.]],[.,.]],.]] => 630
[.,[[[[.,[.,.]],.],[.,.]],.]] => 1260
[.,[[[[[.,.],.],.],[.,.]],.]] => 1260
[.,[[[.,[.,[.,[.,.]]]],.],.]] => 5040
[.,[[[.,[.,[[.,.],.]]],.],.]] => 5040
[.,[[[.,[[.,.],[.,.]]],.],.]] => 2520
[.,[[[.,[[.,[.,.]],.]],.],.]] => 5040
[.,[[[.,[[[.,.],.],.]],.],.]] => 5040
[.,[[[[.,.],[.,[.,.]]],.],.]] => 1680
[.,[[[[.,.],[[.,.],.]],.],.]] => 1680
[.,[[[[.,[.,.]],[.,.]],.],.]] => 1680
[.,[[[[[.,.],.],[.,.]],.],.]] => 1680
[.,[[[[.,[.,[.,.]]],.],.],.]] => 5040
[.,[[[[.,[[.,.],.]],.],.],.]] => 5040
[.,[[[[[.,.],[.,.]],.],.],.]] => 2520
[.,[[[[[.,[.,.]],.],.],.],.]] => 5040
[.,[[[[[[.,.],.],.],.],.],.]] => 5040
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => 840
[[.,.],[.,[.,[.,[[.,.],.]]]]] => 840
[[.,.],[.,[.,[[.,.],[.,.]]]]] => 420
[[.,.],[.,[.,[[.,[.,.]],.]]]] => 840
[[.,.],[.,[.,[[[.,.],.],.]]]] => 840
[[.,.],[.,[[.,.],[.,[.,.]]]]] => 280
[[.,.],[.,[[.,.],[[.,.],.]]]] => 280
[[.,.],[.,[[.,[.,.]],[.,.]]]] => 280
[[.,.],[.,[[[.,.],.],[.,.]]]] => 280
[[.,.],[.,[[.,[.,[.,.]]],.]]] => 840
[[.,.],[.,[[.,[[.,.],.]],.]]] => 840
[[.,.],[.,[[[.,.],[.,.]],.]]] => 420
[[.,.],[.,[[[.,[.,.]],.],.]]] => 840
[[.,.],[.,[[[[.,.],.],.],.]]] => 840
[[.,.],[[.,.],[.,[.,[.,.]]]]] => 210
[[.,.],[[.,.],[.,[[.,.],.]]]] => 210
[[.,.],[[.,.],[[.,.],[.,.]]]] => 105
[[.,.],[[.,.],[[.,[.,.]],.]]] => 210
[[.,.],[[.,.],[[[.,.],.],.]]] => 210
[[.,.],[[.,[.,.]],[.,[.,.]]]] => 140
[[.,.],[[.,[.,.]],[[.,.],.]]] => 140
[[.,.],[[[.,.],.],[.,[.,.]]]] => 140
[[.,.],[[[.,.],.],[[.,.],.]]] => 140
[[.,.],[[.,[.,[.,.]]],[.,.]]] => 210
[[.,.],[[.,[[.,.],.]],[.,.]]] => 210
[[.,.],[[[.,.],[.,.]],[.,.]]] => 105
[[.,.],[[[.,[.,.]],.],[.,.]]] => 210
[[.,.],[[[[.,.],.],.],[.,.]]] => 210
[[.,.],[[.,[.,[.,[.,.]]]],.]] => 840
[[.,.],[[.,[.,[[.,.],.]]],.]] => 840
[[.,.],[[.,[[.,.],[.,.]]],.]] => 420
[[.,.],[[.,[[.,[.,.]],.]],.]] => 840
[[.,.],[[.,[[[.,.],.],.]],.]] => 840
[[.,.],[[[.,.],[.,[.,.]]],.]] => 280
[[.,.],[[[.,.],[[.,.],.]],.]] => 280
[[.,.],[[[.,[.,.]],[.,.]],.]] => 280
[[.,.],[[[[.,.],.],[.,.]],.]] => 280
[[.,.],[[[.,[.,[.,.]]],.],.]] => 840
[[.,.],[[[.,[[.,.],.]],.],.]] => 840
[[.,.],[[[[.,.],[.,.]],.],.]] => 420
[[.,.],[[[[.,[.,.]],.],.],.]] => 840
[[.,.],[[[[[.,.],.],.],.],.]] => 840
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => 336
[[.,[.,.]],[.,[.,[[.,.],.]]]] => 336
[[.,[.,.]],[.,[[.,.],[.,.]]]] => 168
[[.,[.,.]],[.,[[.,[.,.]],.]]] => 336
[[.,[.,.]],[.,[[[.,.],.],.]]] => 336
[[.,[.,.]],[[.,.],[.,[.,.]]]] => 112
[[.,[.,.]],[[.,.],[[.,.],.]]] => 112
[[.,[.,.]],[[.,[.,.]],[.,.]]] => 112
[[.,[.,.]],[[[.,.],.],[.,.]]] => 112
[[.,[.,.]],[[.,[.,[.,.]]],.]] => 336
[[.,[.,.]],[[.,[[.,.],.]],.]] => 336
[[.,[.,.]],[[[.,.],[.,.]],.]] => 168
[[.,[.,.]],[[[.,[.,.]],.],.]] => 336
[[.,[.,.]],[[[[.,.],.],.],.]] => 336
[[[.,.],.],[.,[.,[.,[.,.]]]]] => 336
[[[.,.],.],[.,[.,[[.,.],.]]]] => 336
[[[.,.],.],[.,[[.,.],[.,.]]]] => 168
[[[.,.],.],[.,[[.,[.,.]],.]]] => 336
[[[.,.],.],[.,[[[.,.],.],.]]] => 336
[[[.,.],.],[[.,.],[.,[.,.]]]] => 112
[[[.,.],.],[[.,.],[[.,.],.]]] => 112
[[[.,.],.],[[.,[.,.]],[.,.]]] => 112
[[[.,.],.],[[[.,.],.],[.,.]]] => 112
[[[.,.],.],[[.,[.,[.,.]]],.]] => 336
[[[.,.],.],[[.,[[.,.],.]],.]] => 336
[[[.,.],.],[[[.,.],[.,.]],.]] => 168
[[[.,.],.],[[[.,[.,.]],.],.]] => 336
[[[.,.],.],[[[[.,.],.],.],.]] => 336
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => 252
[[.,[.,[.,.]]],[.,[[.,.],.]]] => 252
[[.,[.,[.,.]]],[[.,.],[.,.]]] => 126
[[.,[.,[.,.]]],[[.,[.,.]],.]] => 252
[[.,[.,[.,.]]],[[[.,.],.],.]] => 252
[[.,[[.,.],.]],[.,[.,[.,.]]]] => 252
[[.,[[.,.],.]],[.,[[.,.],.]]] => 252
[[.,[[.,.],.]],[[.,.],[.,.]]] => 126
[[.,[[.,.],.]],[[.,[.,.]],.]] => 252
[[.,[[.,.],.]],[[[.,.],.],.]] => 252
[[[.,.],[.,.]],[.,[.,[.,.]]]] => 126
[[[.,.],[.,.]],[.,[[.,.],.]]] => 126
[[[.,.],[.,.]],[[.,.],[.,.]]] => 63
[[[.,.],[.,.]],[[.,[.,.]],.]] => 126
[[[.,.],[.,.]],[[[.,.],.],.]] => 126
[[[.,[.,.]],.],[.,[.,[.,.]]]] => 252
[[[.,[.,.]],.],[.,[[.,.],.]]] => 252
[[[.,[.,.]],.],[[.,.],[.,.]]] => 126
[[[.,[.,.]],.],[[.,[.,.]],.]] => 252
[[[.,[.,.]],.],[[[.,.],.],.]] => 252
[[[[.,.],.],.],[.,[.,[.,.]]]] => 252
[[[[.,.],.],.],[.,[[.,.],.]]] => 252
[[[[.,.],.],.],[[.,.],[.,.]]] => 126
[[[[.,.],.],.],[[.,[.,.]],.]] => 252
[[[[.,.],.],.],[[[.,.],.],.]] => 252
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => 336
[[.,[.,[.,[.,.]]]],[[.,.],.]] => 336
[[.,[.,[[.,.],.]]],[.,[.,.]]] => 336
[[.,[.,[[.,.],.]]],[[.,.],.]] => 336
[[.,[[.,.],[.,.]]],[.,[.,.]]] => 168
[[.,[[.,.],[.,.]]],[[.,.],.]] => 168
[[.,[[.,[.,.]],.]],[.,[.,.]]] => 336
[[.,[[.,[.,.]],.]],[[.,.],.]] => 336
[[.,[[[.,.],.],.]],[.,[.,.]]] => 336
[[.,[[[.,.],.],.]],[[.,.],.]] => 336
[[[.,.],[.,[.,.]]],[.,[.,.]]] => 112
[[[.,.],[.,[.,.]]],[[.,.],.]] => 112
[[[.,.],[[.,.],.]],[.,[.,.]]] => 112
[[[.,.],[[.,.],.]],[[.,.],.]] => 112
[[[.,[.,.]],[.,.]],[.,[.,.]]] => 112
[[[.,[.,.]],[.,.]],[[.,.],.]] => 112
[[[[.,.],.],[.,.]],[.,[.,.]]] => 112
[[[[.,.],.],[.,.]],[[.,.],.]] => 112
[[[.,[.,[.,.]]],.],[.,[.,.]]] => 336
[[[.,[.,[.,.]]],.],[[.,.],.]] => 336
[[[.,[[.,.],.]],.],[.,[.,.]]] => 336
[[[.,[[.,.],.]],.],[[.,.],.]] => 336
[[[[.,.],[.,.]],.],[.,[.,.]]] => 168
[[[[.,.],[.,.]],.],[[.,.],.]] => 168
[[[[.,[.,.]],.],.],[.,[.,.]]] => 336
[[[[.,[.,.]],.],.],[[.,.],.]] => 336
[[[[[.,.],.],.],.],[.,[.,.]]] => 336
[[[[[.,.],.],.],.],[[.,.],.]] => 336
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => 840
[[.,[.,[.,[[.,.],.]]]],[.,.]] => 840
[[.,[.,[[.,.],[.,.]]]],[.,.]] => 420
[[.,[.,[[.,[.,.]],.]]],[.,.]] => 840
[[.,[.,[[[.,.],.],.]]],[.,.]] => 840
[[.,[[.,.],[.,[.,.]]]],[.,.]] => 280
[[.,[[.,.],[[.,.],.]]],[.,.]] => 280
[[.,[[.,[.,.]],[.,.]]],[.,.]] => 280
[[.,[[[.,.],.],[.,.]]],[.,.]] => 280
[[.,[[.,[.,[.,.]]],.]],[.,.]] => 840
[[.,[[.,[[.,.],.]],.]],[.,.]] => 840
[[.,[[[.,.],[.,.]],.]],[.,.]] => 420
[[.,[[[.,[.,.]],.],.]],[.,.]] => 840
[[.,[[[[.,.],.],.],.]],[.,.]] => 840
[[[.,.],[.,[.,[.,.]]]],[.,.]] => 210
[[[.,.],[.,[[.,.],.]]],[.,.]] => 210
[[[.,.],[[.,.],[.,.]]],[.,.]] => 105
[[[.,.],[[.,[.,.]],.]],[.,.]] => 210
[[[.,.],[[[.,.],.],.]],[.,.]] => 210
[[[.,[.,.]],[.,[.,.]]],[.,.]] => 140
[[[.,[.,.]],[[.,.],.]],[.,.]] => 140
[[[[.,.],.],[.,[.,.]]],[.,.]] => 140
[[[[.,.],.],[[.,.],.]],[.,.]] => 140
[[[.,[.,[.,.]]],[.,.]],[.,.]] => 210
[[[.,[[.,.],.]],[.,.]],[.,.]] => 210
[[[[.,.],[.,.]],[.,.]],[.,.]] => 105
[[[[.,[.,.]],.],[.,.]],[.,.]] => 210
[[[[[.,.],.],.],[.,.]],[.,.]] => 210
[[[.,[.,[.,[.,.]]]],.],[.,.]] => 840
[[[.,[.,[[.,.],.]]],.],[.,.]] => 840
[[[.,[[.,.],[.,.]]],.],[.,.]] => 420
[[[.,[[.,[.,.]],.]],.],[.,.]] => 840
[[[.,[[[.,.],.],.]],.],[.,.]] => 840
[[[[.,.],[.,[.,.]]],.],[.,.]] => 280
[[[[.,.],[[.,.],.]],.],[.,.]] => 280
[[[[.,[.,.]],[.,.]],.],[.,.]] => 280
[[[[[.,.],.],[.,.]],.],[.,.]] => 280
[[[[.,[.,[.,.]]],.],.],[.,.]] => 840
[[[[.,[[.,.],.]],.],.],[.,.]] => 840
[[[[[.,.],[.,.]],.],.],[.,.]] => 420
[[[[[.,[.,.]],.],.],.],[.,.]] => 840
[[[[[[.,.],.],.],.],.],[.,.]] => 840
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => 5040
[[.,[.,[.,[.,[[.,.],.]]]]],.] => 5040
[[.,[.,[.,[[.,.],[.,.]]]]],.] => 2520
[[.,[.,[.,[[.,[.,.]],.]]]],.] => 5040
[[.,[.,[.,[[[.,.],.],.]]]],.] => 5040
[[.,[.,[[.,.],[.,[.,.]]]]],.] => 1680
[[.,[.,[[.,.],[[.,.],.]]]],.] => 1680
[[.,[.,[[.,[.,.]],[.,.]]]],.] => 1680
[[.,[.,[[[.,.],.],[.,.]]]],.] => 1680
[[.,[.,[[.,[.,[.,.]]],.]]],.] => 5040
[[.,[.,[[.,[[.,.],.]],.]]],.] => 5040
[[.,[.,[[[.,.],[.,.]],.]]],.] => 2520
[[.,[.,[[[.,[.,.]],.],.]]],.] => 5040
[[.,[.,[[[[.,.],.],.],.]]],.] => 5040
[[.,[[.,.],[.,[.,[.,.]]]]],.] => 1260
[[.,[[.,.],[.,[[.,.],.]]]],.] => 1260
[[.,[[.,.],[[.,.],[.,.]]]],.] => 630
[[.,[[.,.],[[.,[.,.]],.]]],.] => 1260
[[.,[[.,.],[[[.,.],.],.]]],.] => 1260
[[.,[[.,[.,.]],[.,[.,.]]]],.] => 840
[[.,[[.,[.,.]],[[.,.],.]]],.] => 840
[[.,[[[.,.],.],[.,[.,.]]]],.] => 840
[[.,[[[.,.],.],[[.,.],.]]],.] => 840
[[.,[[.,[.,[.,.]]],[.,.]]],.] => 1260
[[.,[[.,[[.,.],.]],[.,.]]],.] => 1260
[[.,[[[.,.],[.,.]],[.,.]]],.] => 630
[[.,[[[.,[.,.]],.],[.,.]]],.] => 1260
[[.,[[[[.,.],.],.],[.,.]]],.] => 1260
[[.,[[.,[.,[.,[.,.]]]],.]],.] => 5040
[[.,[[.,[.,[[.,.],.]]],.]],.] => 5040
[[.,[[.,[[.,.],[.,.]]],.]],.] => 2520
[[.,[[.,[[.,[.,.]],.]],.]],.] => 5040
[[.,[[.,[[[.,.],.],.]],.]],.] => 5040
[[.,[[[.,.],[.,[.,.]]],.]],.] => 1680
[[.,[[[.,.],[[.,.],.]],.]],.] => 1680
[[.,[[[.,[.,.]],[.,.]],.]],.] => 1680
[[.,[[[[.,.],.],[.,.]],.]],.] => 1680
[[.,[[[.,[.,[.,.]]],.],.]],.] => 5040
[[.,[[[.,[[.,.],.]],.],.]],.] => 5040
[[.,[[[[.,.],[.,.]],.],.]],.] => 2520
[[.,[[[[.,[.,.]],.],.],.]],.] => 5040
[[.,[[[[[.,.],.],.],.],.]],.] => 5040
[[[.,.],[.,[.,[.,[.,.]]]]],.] => 1008
[[[.,.],[.,[.,[[.,.],.]]]],.] => 1008
[[[.,.],[.,[[.,.],[.,.]]]],.] => 504
[[[.,.],[.,[[.,[.,.]],.]]],.] => 1008
[[[.,.],[.,[[[.,.],.],.]]],.] => 1008
[[[.,.],[[.,.],[.,[.,.]]]],.] => 336
[[[.,.],[[.,.],[[.,.],.]]],.] => 336
[[[.,.],[[.,[.,.]],[.,.]]],.] => 336
[[[.,.],[[[.,.],.],[.,.]]],.] => 336
[[[.,.],[[.,[.,[.,.]]],.]],.] => 1008
[[[.,.],[[.,[[.,.],.]],.]],.] => 1008
[[[.,.],[[[.,.],[.,.]],.]],.] => 504
[[[.,.],[[[.,[.,.]],.],.]],.] => 1008
[[[.,.],[[[[.,.],.],.],.]],.] => 1008
[[[.,[.,.]],[.,[.,[.,.]]]],.] => 504
[[[.,[.,.]],[.,[[.,.],.]]],.] => 504
[[[.,[.,.]],[[.,.],[.,.]]],.] => 252
[[[.,[.,.]],[[.,[.,.]],.]],.] => 504
[[[.,[.,.]],[[[.,.],.],.]],.] => 504
[[[[.,.],.],[.,[.,[.,.]]]],.] => 504
[[[[.,.],.],[.,[[.,.],.]]],.] => 504
[[[[.,.],.],[[.,.],[.,.]]],.] => 252
[[[[.,.],.],[[.,[.,.]],.]],.] => 504
[[[[.,.],.],[[[.,.],.],.]],.] => 504
[[[.,[.,[.,.]]],[.,[.,.]]],.] => 504
[[[.,[.,[.,.]]],[[.,.],.]],.] => 504
[[[.,[[.,.],.]],[.,[.,.]]],.] => 504
[[[.,[[.,.],.]],[[.,.],.]],.] => 504
[[[[.,.],[.,.]],[.,[.,.]]],.] => 252
[[[[.,.],[.,.]],[[.,.],.]],.] => 252
[[[[.,[.,.]],.],[.,[.,.]]],.] => 504
[[[[.,[.,.]],.],[[.,.],.]],.] => 504
[[[[[.,.],.],.],[.,[.,.]]],.] => 504
[[[[[.,.],.],.],[[.,.],.]],.] => 504
[[[.,[.,[.,[.,.]]]],[.,.]],.] => 1008
[[[.,[.,[[.,.],.]]],[.,.]],.] => 1008
[[[.,[[.,.],[.,.]]],[.,.]],.] => 504
[[[.,[[.,[.,.]],.]],[.,.]],.] => 1008
[[[.,[[[.,.],.],.]],[.,.]],.] => 1008
[[[[.,.],[.,[.,.]]],[.,.]],.] => 336
[[[[.,.],[[.,.],.]],[.,.]],.] => 336
[[[[.,[.,.]],[.,.]],[.,.]],.] => 336
[[[[[.,.],.],[.,.]],[.,.]],.] => 336
[[[[.,[.,[.,.]]],.],[.,.]],.] => 1008
[[[[.,[[.,.],.]],.],[.,.]],.] => 1008
[[[[[.,.],[.,.]],.],[.,.]],.] => 504
[[[[[.,[.,.]],.],.],[.,.]],.] => 1008
[[[[[[.,.],.],.],.],[.,.]],.] => 1008
[[[.,[.,[.,[.,[.,.]]]]],.],.] => 5040
[[[.,[.,[.,[[.,.],.]]]],.],.] => 5040
[[[.,[.,[[.,.],[.,.]]]],.],.] => 2520
[[[.,[.,[[.,[.,.]],.]]],.],.] => 5040
[[[.,[.,[[[.,.],.],.]]],.],.] => 5040
[[[.,[[.,.],[.,[.,.]]]],.],.] => 1680
[[[.,[[.,.],[[.,.],.]]],.],.] => 1680
[[[.,[[.,[.,.]],[.,.]]],.],.] => 1680
[[[.,[[[.,.],.],[.,.]]],.],.] => 1680
[[[.,[[.,[.,[.,.]]],.]],.],.] => 5040
[[[.,[[.,[[.,.],.]],.]],.],.] => 5040
[[[.,[[[.,.],[.,.]],.]],.],.] => 2520
[[[.,[[[.,[.,.]],.],.]],.],.] => 5040
[[[.,[[[[.,.],.],.],.]],.],.] => 5040
[[[[.,.],[.,[.,[.,.]]]],.],.] => 1260
[[[[.,.],[.,[[.,.],.]]],.],.] => 1260
[[[[.,.],[[.,.],[.,.]]],.],.] => 630
[[[[.,.],[[.,[.,.]],.]],.],.] => 1260
[[[[.,.],[[[.,.],.],.]],.],.] => 1260
[[[[.,[.,.]],[.,[.,.]]],.],.] => 840
[[[[.,[.,.]],[[.,.],.]],.],.] => 840
[[[[[.,.],.],[.,[.,.]]],.],.] => 840
[[[[[.,.],.],[[.,.],.]],.],.] => 840
[[[[.,[.,[.,.]]],[.,.]],.],.] => 1260
[[[[.,[[.,.],.]],[.,.]],.],.] => 1260
[[[[[.,.],[.,.]],[.,.]],.],.] => 630
[[[[[.,[.,.]],.],[.,.]],.],.] => 1260
[[[[[[.,.],.],.],[.,.]],.],.] => 1260
[[[[.,[.,[.,[.,.]]]],.],.],.] => 5040
[[[[.,[.,[[.,.],.]]],.],.],.] => 5040
[[[[.,[[.,.],[.,.]]],.],.],.] => 2520
[[[[.,[[.,[.,.]],.]],.],.],.] => 5040
[[[[.,[[[.,.],.],.]],.],.],.] => 5040
[[[[[.,.],[.,[.,.]]],.],.],.] => 1680
[[[[[.,.],[[.,.],.]],.],.],.] => 1680
[[[[[.,[.,.]],[.,.]],.],.],.] => 1680
[[[[[[.,.],.],[.,.]],.],.],.] => 1680
[[[[[.,[.,[.,.]]],.],.],.],.] => 5040
[[[[[.,[[.,.],.]],.],.],.],.] => 5040
[[[[[[.,.],[.,.]],.],.],.],.] => 2520
[[[[[[.,[.,.]],.],.],.],.],.] => 5040
[[[[[[[.,.],.],.],.],.],.],.] => 5040
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 40320
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 40320
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 20160
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 40320
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => 40320
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => 13440
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => 13440
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => 13440
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 13440
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => 40320
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => 40320
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => 20160
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => 40320
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => 40320
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => 10080
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => 10080
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => 5040
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => 10080
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => 10080
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => 6720
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => 6720
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 6720
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => 6720
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => 10080
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => 10080
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 5040
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 10080
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 10080
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => 40320
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => 40320
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => 20160
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => 40320
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => 40320
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 13440
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => 13440
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => 13440
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 13440
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => 40320
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => 40320
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => 20160
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => 40320
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => 40320
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 8064
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 8064
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 4032
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => 8064
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => 8064
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 2688
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => 2688
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => 2688
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => 2688
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => 8064
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => 8064
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => 4032
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => 8064
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => 8064
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 4032
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => 4032
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => 2016
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 4032
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => 4032
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 4032
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => 4032
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 2016
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => 4032
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => 4032
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => 4032
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => 4032
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => 4032
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => 4032
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => 2016
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => 2016
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => 4032
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => 4032
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 4032
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => 4032
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => 8064
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => 8064
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => 4032
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => 8064
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => 8064
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => 2688
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => 2688
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => 2688
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => 2688
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => 8064
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => 8064
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => 4032
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => 8064
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 8064
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => 40320
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => 40320
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => 20160
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => 40320
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => 40320
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => 13440
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => 13440
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => 13440
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => 13440
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => 40320
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => 40320
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => 20160
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => 40320
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => 40320
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 10080
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => 10080
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => 5040
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => 10080
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => 10080
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => 6720
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => 6720
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 6720
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => 6720
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => 10080
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => 10080
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => 5040
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 10080
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 10080
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => 40320
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => 40320
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => 20160
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => 40320
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => 40320
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => 13440
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => 13440
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => 13440
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => 13440
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => 40320
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => 40320
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => 20160
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => 40320
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => 40320
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 6720
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => 6720
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3360
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => 6720
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => 6720
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 2240
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 2240
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 2240
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => 2240
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => 6720
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => 6720
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => 3360
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => 6720
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 6720
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 1680
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 1680
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 840
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 1680
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 1680
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 1120
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 1120
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 1120
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 1120
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 1680
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 1680
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 840
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 1680
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 1680
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 6720
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => 6720
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 3360
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => 6720
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 6720
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 2240
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 2240
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 2240
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 2240
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 6720
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 6720
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 3360
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 6720
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => 6720
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 2688
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 2688
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 1344
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 2688
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 2688
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 896
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 896
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 896
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 896
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 2688
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 2688
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 1344
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 2688
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 2688
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 2688
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 2688
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 1344
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 2688
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 2688
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 896
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 896
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 896
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 896
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 2688
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 2688
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 1344
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 2688
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => 2688
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 2016
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 2016
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 1008
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 2016
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 2016
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 2016
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 2016
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 1008
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 2016
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 2016
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1008
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 1008
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 504
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 1008
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 1008
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 2016
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 2016
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 1008
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 2016
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 2016
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 2016
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 2016
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 1008
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 2016
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => 2016
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 2688
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 2688
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 2688
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 2688
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 1344
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 1344
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 2688
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 2688
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 2688
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 2688
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 896
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 896
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 896
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 896
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 896
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 896
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 896
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 896
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 2688
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 2688
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 2688
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 2688
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 1344
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 1344
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 2688
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 2688
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 2688
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => 2688
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 6720
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 6720
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 3360
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 6720
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 6720
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 2240
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 2240
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 2240
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 2240
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 6720
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 6720
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 3360
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 6720
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 6720
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 1680
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 1680
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 840
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 1680
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 1680
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 1120
[.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 1120
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1120
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 1120
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 1680
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 1680
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 840
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 1680
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 1680
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 6720
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 6720
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 3360
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 6720
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 6720
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 2240
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 2240
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 2240
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 2240
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 6720
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 6720
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 3360
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 6720
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => 6720
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 40320
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 40320
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 20160
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 40320
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 40320
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 13440
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 13440
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 13440
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 13440
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 40320
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 40320
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 20160
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 40320
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 40320
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 10080
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 10080
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 5040
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 10080
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 10080
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 6720
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 6720
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 6720
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 6720
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 10080
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 10080
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 5040
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 10080
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 10080
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 40320
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 40320
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 20160
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 40320
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 40320
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 13440
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 13440
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 13440
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 13440
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 40320
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 40320
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 20160
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 40320
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => 40320
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 8064
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 8064
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 4032
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 8064
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 8064
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 2688
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 2688
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 2688
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 2688
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 8064
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 8064
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 4032
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 8064
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => 8064
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 4032
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 4032
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 2016
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 4032
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 4032
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 4032
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 4032
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 2016
[.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 4032
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => 4032
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 4032
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 4032
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 4032
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 4032
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 2016
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 2016
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 4032
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 4032
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 4032
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => 4032
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 8064
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 8064
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 4032
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 8064
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 8064
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 2688
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 2688
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2688
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 2688
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 8064
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 8064
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 4032
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 8064
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => 8064
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 40320
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 40320
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 20160
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 40320
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 40320
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 13440
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 13440
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 13440
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 13440
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 40320
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 40320
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 20160
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 40320
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => 40320
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 10080
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 10080
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 5040
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 10080
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => 10080
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 6720
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 6720
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 6720
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => 6720
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 10080
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 10080
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 5040
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 10080
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => 10080
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 40320
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 40320
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 20160
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 40320
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => 40320
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 13440
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => 13440
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 13440
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => 13440
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 40320
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => 40320
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => 20160
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => 40320
[.,[[[[[[[.,.],.],.],.],.],.],.]] => 40320
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5760
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 5760
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 2880
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 5760
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 5760
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 1920
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 1920
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 1920
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 1920
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 5760
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 5760
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 2880
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 5760
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 5760
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 1440
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 1440
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 720
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 1440
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 1440
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 960
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 960
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 960
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 960
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 1440
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 1440
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 720
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 1440
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 1440
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 5760
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 5760
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 2880
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 5760
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 5760
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 1920
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 1920
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 1920
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 1920
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 5760
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 5760
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 2880
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 5760
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => 5760
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 1152
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 1152
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 576
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 1152
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 1152
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 384
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 384
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 384
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 384
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 1152
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 1152
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 576
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 1152
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => 1152
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 576
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 576
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 288
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 576
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 576
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 576
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 576
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 288
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 576
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => 576
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 576
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 576
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 576
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 576
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 288
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 288
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 576
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 576
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 576
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => 576
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 1152
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 1152
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 576
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 1152
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 1152
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 384
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 384
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 384
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 384
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 1152
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 1152
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 576
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 1152
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => 1152
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 5760
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 5760
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 2880
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 5760
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 5760
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 1920
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 1920
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 1920
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 1920
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 5760
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 5760
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 2880
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 5760
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => 5760
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 1440
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 1440
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 720
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 1440
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => 1440
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 960
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 960
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 960
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => 960
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 1440
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 1440
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 720
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 1440
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => 1440
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 5760
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 5760
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 2880
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 5760
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => 5760
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 1920
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => 1920
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 1920
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => 1920
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 5760
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => 5760
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => 2880
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => 5760
[[.,.],[[[[[[.,.],.],.],.],.],.]] => 5760
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 1920
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 1920
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 960
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 1920
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 1920
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 640
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 640
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 640
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 640
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 1920
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 1920
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 960
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 1920
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 1920
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 480
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,0,4 4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,8
$F_{2} = 2\ q^{2}$
$F_{3} = q^{3} + 4\ q^{6}$
$F_{4} = 4\ q^{8} + 2\ q^{12} + 8\ q^{24}$
$F_{5} = 2\ q^{15} + 4\ q^{20} + 8\ q^{30} + 8\ q^{40} + 4\ q^{60} + 16\ q^{120}$
$F_{6} = 4\ q^{36} + 8\ q^{48} + 20\ q^{72} + 4\ q^{90} + 8\ q^{120} + 16\ q^{144} + 16\ q^{180} + 16\ q^{240} + 8\ q^{360} + 32\ q^{720}$
$F_{7} = q^{63} + 4\ q^{105} + 16\ q^{112} + 8\ q^{126} + 8\ q^{140} + 8\ q^{168} + 16\ q^{210} + 24\ q^{252} + 16\ q^{280} + 48\ q^{336} + 8\ q^{420} + 40\ q^{504} + 8\ q^{630} + 48\ q^{840} + 32\ q^{1008} + 32\ q^{1260} + 32\ q^{1680} + 16\ q^{2520} + 64\ q^{5040}$
Description
The tree factorial of a binary tree.
References
Code
def statistic(B):
return B.tree_factorial()
Created
Feb 25, 2016 at 09:51 by Martin Rubey
Updated
Feb 25, 2016 at 09:51 by Martin Rubey
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