Identifier
Values
[.,.] => [1,0] => [1] => 0
[.,[.,.]] => [1,0,1,0] => [2,1] => 1
[[.,.],.] => [1,1,0,0] => [1,2] => 0
[.,[.,[.,.]]] => [1,0,1,0,1,0] => [2,3,1] => 1
[.,[[.,.],.]] => [1,0,1,1,0,0] => [2,1,3] => 1
[[.,.],[.,.]] => [1,1,1,0,0,0] => [1,2,3] => 0
[[.,[.,.]],.] => [1,1,0,0,1,0] => [1,3,2] => 1
[[[.,.],.],.] => [1,1,0,1,0,0] => [3,1,2] => 1
[.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [2,3,4,1] => 1
[.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [2,3,1,4] => 1
[.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [2,1,3,4] => 1
[.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [2,1,4,3] => 2
[.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => [2,4,1,3] => 1
[[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [1,2,4,3] => 1
[[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [1,4,2,3] => 1
[[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [4,1,2,3] => 1
[[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 0
[[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [1,3,4,2] => 1
[[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [1,3,2,4] => 1
[[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [3,1,2,4] => 1
[[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [3,1,4,2] => 2
[[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => [3,4,1,2] => 1
[.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => 1
[.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => 1
[.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => 1
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => 2
[.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => 1
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => 2
[.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => 2
[.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => 1
[.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => 1
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => 2
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => 2
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => 1
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => 2
[.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => 1
[[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => 1
[[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => 1
[[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => 1
[[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => 2
[[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => 1
[[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => 2
[[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => 2
[[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => 1
[[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => 1
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => 1
[[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => 1
[[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 0
[[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => 1
[[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => 1
[[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => 1
[[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => 1
[[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => 1
[[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => 2
[[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => 1
[[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => 2
[[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => 2
[[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => 1
[[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => 1
[[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => 2
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => 2
[[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => 1
[[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => 2
[[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => 2
[.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => 2
[.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => 2
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => 3
[.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => 2
[.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => 2
[.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => 3
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => 2
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => 1
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => 1
>>> Load all 196 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => 2
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => 2
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => 1
[.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => 2
[.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => 2
[[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => 2
[[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => 2
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => 2
[[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => 2
[[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => 2
[[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => 3
[[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => 2
[[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => 2
[[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => 2
[[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => 1
[[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => 2
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => 2
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => 2
[[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => 2
[[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => 1
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => 1
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => 2
[[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => 2
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => 2
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => 1
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => 2
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => 2
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => 1
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => 2
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => 2
[[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => 2
[[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => 3
[[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => 2
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => 2
[[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => 1
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => 1
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => 2
[[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => 2
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => 2
[[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => 3
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => 2
[[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => 2
[[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => 2
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => 1
[[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => 2
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => 2
[[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => 1
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => 2
[[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => 1
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Description
The number of descents of a permutation.
This can be described as an occurrence of the vincular mesh pattern ([2,1], {(1,0),(1,1),(1,2)}), i.e., the middle column is shaded, see [3].
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.