Identifier
- St000109: Permutations ⟶ ℤ
Values
=>
[1]=>1
[1,2]=>1
[2,1]=>2
[1,2,3]=>1
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>4
[3,1,2]=>4
[3,2,1]=>6
[1,2,3,4]=>1
[1,2,4,3]=>2
[1,3,2,4]=>2
[1,3,4,2]=>4
[1,4,2,3]=>4
[1,4,3,2]=>6
[2,1,3,4]=>2
[2,1,4,3]=>4
[2,3,1,4]=>4
[2,3,4,1]=>8
[2,4,1,3]=>8
[2,4,3,1]=>12
[3,1,2,4]=>4
[3,1,4,2]=>8
[3,2,1,4]=>6
[3,2,4,1]=>12
[3,4,1,2]=>14
[3,4,2,1]=>18
[4,1,2,3]=>8
[4,1,3,2]=>12
[4,2,1,3]=>12
[4,2,3,1]=>20
[4,3,1,2]=>18
[4,3,2,1]=>24
[1,2,3,4,5]=>1
[1,2,3,5,4]=>2
[1,2,4,3,5]=>2
[1,2,4,5,3]=>4
[1,2,5,3,4]=>4
[1,2,5,4,3]=>6
[1,3,2,4,5]=>2
[1,3,2,5,4]=>4
[1,3,4,2,5]=>4
[1,3,4,5,2]=>8
[1,3,5,2,4]=>8
[1,3,5,4,2]=>12
[1,4,2,3,5]=>4
[1,4,2,5,3]=>8
[1,4,3,2,5]=>6
[1,4,3,5,2]=>12
[1,4,5,2,3]=>14
[1,4,5,3,2]=>18
[1,5,2,3,4]=>8
[1,5,2,4,3]=>12
[1,5,3,2,4]=>12
[1,5,3,4,2]=>20
[1,5,4,2,3]=>18
[1,5,4,3,2]=>24
[2,1,3,4,5]=>2
[2,1,3,5,4]=>4
[2,1,4,3,5]=>4
[2,1,4,5,3]=>8
[2,1,5,3,4]=>8
[2,1,5,4,3]=>12
[2,3,1,4,5]=>4
[2,3,1,5,4]=>8
[2,3,4,1,5]=>8
[2,3,4,5,1]=>16
[2,3,5,1,4]=>16
[2,3,5,4,1]=>24
[2,4,1,3,5]=>8
[2,4,1,5,3]=>16
[2,4,3,1,5]=>12
[2,4,3,5,1]=>24
[2,4,5,1,3]=>28
[2,4,5,3,1]=>36
[2,5,1,3,4]=>16
[2,5,1,4,3]=>24
[2,5,3,1,4]=>24
[2,5,3,4,1]=>40
[2,5,4,1,3]=>36
[2,5,4,3,1]=>48
[3,1,2,4,5]=>4
[3,1,2,5,4]=>8
[3,1,4,2,5]=>8
[3,1,4,5,2]=>16
[3,1,5,2,4]=>16
[3,1,5,4,2]=>24
[3,2,1,4,5]=>6
[3,2,1,5,4]=>12
[3,2,4,1,5]=>12
[3,2,4,5,1]=>24
[3,2,5,1,4]=>24
[3,2,5,4,1]=>36
[3,4,1,2,5]=>14
[3,4,1,5,2]=>28
[3,4,2,1,5]=>18
[3,4,2,5,1]=>36
[3,4,5,1,2]=>46
[3,4,5,2,1]=>54
[3,5,1,2,4]=>28
[3,5,1,4,2]=>44
[3,5,2,1,4]=>36
[3,5,2,4,1]=>60
[3,5,4,1,2]=>60
[3,5,4,2,1]=>72
[4,1,2,3,5]=>8
[4,1,2,5,3]=>16
[4,1,3,2,5]=>12
[4,1,3,5,2]=>24
[4,1,5,2,3]=>28
[4,1,5,3,2]=>36
[4,2,1,3,5]=>12
[4,2,1,5,3]=>24
[4,2,3,1,5]=>20
[4,2,3,5,1]=>40
[4,2,5,1,3]=>44
[4,2,5,3,1]=>60
[4,3,1,2,5]=>18
[4,3,1,5,2]=>36
[4,3,2,1,5]=>24
[4,3,2,5,1]=>48
[4,3,5,1,2]=>60
[4,3,5,2,1]=>72
[4,5,1,2,3]=>46
[4,5,1,3,2]=>60
[4,5,2,1,3]=>60
[4,5,2,3,1]=>88
[4,5,3,1,2]=>78
[4,5,3,2,1]=>96
[5,1,2,3,4]=>16
[5,1,2,4,3]=>24
[5,1,3,2,4]=>24
[5,1,3,4,2]=>40
[5,1,4,2,3]=>36
[5,1,4,3,2]=>48
[5,2,1,3,4]=>24
[5,2,1,4,3]=>36
[5,2,3,1,4]=>40
[5,2,3,4,1]=>68
[5,2,4,1,3]=>60
[5,2,4,3,1]=>84
[5,3,1,2,4]=>36
[5,3,1,4,2]=>60
[5,3,2,1,4]=>48
[5,3,2,4,1]=>84
[5,3,4,1,2]=>88
[5,3,4,2,1]=>108
[5,4,1,2,3]=>54
[5,4,1,3,2]=>72
[5,4,2,1,3]=>72
[5,4,2,3,1]=>108
[5,4,3,1,2]=>96
[5,4,3,2,1]=>120
[1,2,3,4,5,6]=>1
[1,2,3,4,6,5]=>2
[1,2,3,5,4,6]=>2
[1,2,3,5,6,4]=>4
[1,2,3,6,4,5]=>4
[1,2,3,6,5,4]=>6
[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>4
[1,2,4,5,3,6]=>4
[1,2,4,5,6,3]=>8
[1,2,4,6,3,5]=>8
[1,2,4,6,5,3]=>12
[1,2,5,3,4,6]=>4
[1,2,5,3,6,4]=>8
[1,2,5,4,3,6]=>6
[1,2,5,4,6,3]=>12
[1,2,5,6,3,4]=>14
[1,2,5,6,4,3]=>18
[1,2,6,3,4,5]=>8
[1,2,6,3,5,4]=>12
[1,2,6,4,3,5]=>12
[1,2,6,4,5,3]=>20
[1,2,6,5,3,4]=>18
[1,2,6,5,4,3]=>24
[1,3,2,4,5,6]=>2
[1,3,2,4,6,5]=>4
[1,3,2,5,4,6]=>4
[1,3,2,5,6,4]=>8
[1,3,2,6,4,5]=>8
[1,3,2,6,5,4]=>12
[1,3,4,2,5,6]=>4
[1,3,4,2,6,5]=>8
[1,3,4,5,2,6]=>8
[1,3,4,5,6,2]=>16
[1,3,4,6,2,5]=>16
[1,3,4,6,5,2]=>24
[1,3,5,2,4,6]=>8
[1,3,5,2,6,4]=>16
[1,3,5,4,2,6]=>12
[1,3,5,4,6,2]=>24
[1,3,5,6,2,4]=>28
[1,3,5,6,4,2]=>36
[1,3,6,2,4,5]=>16
[1,3,6,2,5,4]=>24
[1,3,6,4,2,5]=>24
[1,3,6,4,5,2]=>40
[1,3,6,5,2,4]=>36
[1,3,6,5,4,2]=>48
[1,4,2,3,5,6]=>4
[1,4,2,3,6,5]=>8
[1,4,2,5,3,6]=>8
[1,4,2,5,6,3]=>16
[1,4,2,6,3,5]=>16
[1,4,2,6,5,3]=>24
[1,4,3,2,5,6]=>6
[1,4,3,2,6,5]=>12
[1,4,3,5,2,6]=>12
[1,4,3,5,6,2]=>24
[1,4,3,6,2,5]=>24
[1,4,3,6,5,2]=>36
[1,4,5,2,3,6]=>14
[1,4,5,2,6,3]=>28
[1,4,5,3,2,6]=>18
[1,4,5,3,6,2]=>36
[1,4,5,6,2,3]=>46
[1,4,5,6,3,2]=>54
[1,4,6,2,3,5]=>28
[1,4,6,2,5,3]=>44
[1,4,6,3,2,5]=>36
[1,4,6,3,5,2]=>60
[1,4,6,5,2,3]=>60
[1,4,6,5,3,2]=>72
[1,5,2,3,4,6]=>8
[1,5,2,3,6,4]=>16
[1,5,2,4,3,6]=>12
[1,5,2,4,6,3]=>24
[1,5,2,6,3,4]=>28
[1,5,2,6,4,3]=>36
[1,5,3,2,4,6]=>12
[1,5,3,2,6,4]=>24
[1,5,3,4,2,6]=>20
[1,5,3,4,6,2]=>40
[1,5,3,6,2,4]=>44
[1,5,3,6,4,2]=>60
[1,5,4,2,3,6]=>18
[1,5,4,2,6,3]=>36
[1,5,4,3,2,6]=>24
[1,5,4,3,6,2]=>48
[1,5,4,6,2,3]=>60
[1,5,4,6,3,2]=>72
[1,5,6,2,3,4]=>46
[1,5,6,2,4,3]=>60
[1,5,6,3,2,4]=>60
[1,5,6,3,4,2]=>88
[1,5,6,4,2,3]=>78
[1,5,6,4,3,2]=>96
[1,6,2,3,4,5]=>16
[1,6,2,3,5,4]=>24
[1,6,2,4,3,5]=>24
[1,6,2,4,5,3]=>40
[1,6,2,5,3,4]=>36
[1,6,2,5,4,3]=>48
[1,6,3,2,4,5]=>24
[1,6,3,2,5,4]=>36
[1,6,3,4,2,5]=>40
[1,6,3,4,5,2]=>68
[1,6,3,5,2,4]=>60
[1,6,3,5,4,2]=>84
[1,6,4,2,3,5]=>36
[1,6,4,2,5,3]=>60
[1,6,4,3,2,5]=>48
[1,6,4,3,5,2]=>84
[1,6,4,5,2,3]=>88
[1,6,4,5,3,2]=>108
[1,6,5,2,3,4]=>54
[1,6,5,2,4,3]=>72
[1,6,5,3,2,4]=>72
[1,6,5,3,4,2]=>108
[1,6,5,4,2,3]=>96
[1,6,5,4,3,2]=>120
[2,1,3,4,5,6]=>2
[2,1,3,4,6,5]=>4
[2,1,3,5,4,6]=>4
[2,1,3,5,6,4]=>8
[2,1,3,6,4,5]=>8
[2,1,3,6,5,4]=>12
[2,1,4,3,5,6]=>4
[2,1,4,3,6,5]=>8
[2,1,4,5,3,6]=>8
[2,1,4,5,6,3]=>16
[2,1,4,6,3,5]=>16
[2,1,4,6,5,3]=>24
[2,1,5,3,4,6]=>8
[2,1,5,3,6,4]=>16
[2,1,5,4,3,6]=>12
[2,1,5,4,6,3]=>24
[2,1,5,6,3,4]=>28
[2,1,5,6,4,3]=>36
[2,1,6,3,4,5]=>16
[2,1,6,3,5,4]=>24
[2,1,6,4,3,5]=>24
[2,1,6,4,5,3]=>40
[2,1,6,5,3,4]=>36
[2,1,6,5,4,3]=>48
[2,3,1,4,5,6]=>4
[2,3,1,4,6,5]=>8
[2,3,1,5,4,6]=>8
[2,3,1,5,6,4]=>16
[2,3,1,6,4,5]=>16
[2,3,1,6,5,4]=>24
[2,3,4,1,5,6]=>8
[2,3,4,1,6,5]=>16
[2,3,4,5,1,6]=>16
[2,3,4,5,6,1]=>32
[2,3,4,6,1,5]=>32
[2,3,4,6,5,1]=>48
[2,3,5,1,4,6]=>16
[2,3,5,1,6,4]=>32
[2,3,5,4,1,6]=>24
[2,3,5,4,6,1]=>48
[2,3,5,6,1,4]=>56
[2,3,5,6,4,1]=>72
[2,3,6,1,4,5]=>32
[2,3,6,1,5,4]=>48
[2,3,6,4,1,5]=>48
[2,3,6,4,5,1]=>80
[2,3,6,5,1,4]=>72
[2,3,6,5,4,1]=>96
[2,4,1,3,5,6]=>8
[2,4,1,3,6,5]=>16
[2,4,1,5,3,6]=>16
[2,4,1,5,6,3]=>32
[2,4,1,6,3,5]=>32
[2,4,1,6,5,3]=>48
[2,4,3,1,5,6]=>12
[2,4,3,1,6,5]=>24
[2,4,3,5,1,6]=>24
[2,4,3,5,6,1]=>48
[2,4,3,6,1,5]=>48
[2,4,3,6,5,1]=>72
[2,4,5,1,3,6]=>28
[2,4,5,1,6,3]=>56
[2,4,5,3,1,6]=>36
[2,4,5,3,6,1]=>72
[2,4,5,6,1,3]=>92
[2,4,5,6,3,1]=>108
[2,4,6,1,3,5]=>56
[2,4,6,1,5,3]=>88
[2,4,6,3,1,5]=>72
[2,4,6,3,5,1]=>120
[2,4,6,5,1,3]=>120
[2,4,6,5,3,1]=>144
[2,5,1,3,4,6]=>16
[2,5,1,3,6,4]=>32
[2,5,1,4,3,6]=>24
[2,5,1,4,6,3]=>48
[2,5,1,6,3,4]=>56
[2,5,1,6,4,3]=>72
[2,5,3,1,4,6]=>24
[2,5,3,1,6,4]=>48
[2,5,3,4,1,6]=>40
[2,5,3,4,6,1]=>80
[2,5,3,6,1,4]=>88
[2,5,3,6,4,1]=>120
[2,5,4,1,3,6]=>36
[2,5,4,1,6,3]=>72
[2,5,4,3,1,6]=>48
[2,5,4,3,6,1]=>96
[2,5,4,6,1,3]=>120
[2,5,4,6,3,1]=>144
[2,5,6,1,3,4]=>92
[2,5,6,1,4,3]=>120
[2,5,6,3,1,4]=>120
[2,5,6,3,4,1]=>176
[2,5,6,4,1,3]=>156
[2,5,6,4,3,1]=>192
[2,6,1,3,4,5]=>32
[2,6,1,3,5,4]=>48
[2,6,1,4,3,5]=>48
[2,6,1,4,5,3]=>80
[2,6,1,5,3,4]=>72
[2,6,1,5,4,3]=>96
[2,6,3,1,4,5]=>48
[2,6,3,1,5,4]=>72
[2,6,3,4,1,5]=>80
[2,6,3,4,5,1]=>136
[2,6,3,5,1,4]=>120
[2,6,3,5,4,1]=>168
[2,6,4,1,3,5]=>72
[2,6,4,1,5,3]=>120
[2,6,4,3,1,5]=>96
[2,6,4,3,5,1]=>168
[2,6,4,5,1,3]=>176
[2,6,4,5,3,1]=>216
[2,6,5,1,3,4]=>108
[2,6,5,1,4,3]=>144
[2,6,5,3,1,4]=>144
[2,6,5,3,4,1]=>216
[2,6,5,4,1,3]=>192
[2,6,5,4,3,1]=>240
[3,1,2,4,5,6]=>4
[3,1,2,4,6,5]=>8
[3,1,2,5,4,6]=>8
[3,1,2,5,6,4]=>16
[3,1,2,6,4,5]=>16
[3,1,2,6,5,4]=>24
[3,1,4,2,5,6]=>8
[3,1,4,2,6,5]=>16
[3,1,4,5,2,6]=>16
[3,1,4,5,6,2]=>32
[3,1,4,6,2,5]=>32
[3,1,4,6,5,2]=>48
[3,1,5,2,4,6]=>16
[3,1,5,2,6,4]=>32
[3,1,5,4,2,6]=>24
[3,1,5,4,6,2]=>48
[3,1,5,6,2,4]=>56
[3,1,5,6,4,2]=>72
[3,1,6,2,4,5]=>32
[3,1,6,2,5,4]=>48
[3,1,6,4,2,5]=>48
[3,1,6,4,5,2]=>80
[3,1,6,5,2,4]=>72
[3,1,6,5,4,2]=>96
[3,2,1,4,5,6]=>6
[3,2,1,4,6,5]=>12
[3,2,1,5,4,6]=>12
[3,2,1,5,6,4]=>24
[3,2,1,6,4,5]=>24
[3,2,1,6,5,4]=>36
[3,2,4,1,5,6]=>12
[3,2,4,1,6,5]=>24
[3,2,4,5,1,6]=>24
[3,2,4,5,6,1]=>48
[3,2,4,6,1,5]=>48
[3,2,4,6,5,1]=>72
[3,2,5,1,4,6]=>24
[3,2,5,1,6,4]=>48
[3,2,5,4,1,6]=>36
[3,2,5,4,6,1]=>72
[3,2,5,6,1,4]=>84
[3,2,5,6,4,1]=>108
[3,2,6,1,4,5]=>48
[3,2,6,1,5,4]=>72
[3,2,6,4,1,5]=>72
[3,2,6,4,5,1]=>120
[3,2,6,5,1,4]=>108
[3,2,6,5,4,1]=>144
[3,4,1,2,5,6]=>14
[3,4,1,2,6,5]=>28
[3,4,1,5,2,6]=>28
[3,4,1,5,6,2]=>56
[3,4,1,6,2,5]=>56
[3,4,1,6,5,2]=>84
[3,4,2,1,5,6]=>18
[3,4,2,1,6,5]=>36
[3,4,2,5,1,6]=>36
[3,4,2,5,6,1]=>72
[3,4,2,6,1,5]=>72
[3,4,2,6,5,1]=>108
[3,4,5,1,2,6]=>46
[3,4,5,1,6,2]=>92
[3,4,5,2,1,6]=>54
[3,4,5,2,6,1]=>108
[3,4,5,6,1,2]=>146
[3,4,5,6,2,1]=>162
[3,4,6,1,2,5]=>92
[3,4,6,1,5,2]=>148
[3,4,6,2,1,5]=>108
[3,4,6,2,5,1]=>180
[3,4,6,5,1,2]=>192
[3,4,6,5,2,1]=>216
[3,5,1,2,4,6]=>28
[3,5,1,2,6,4]=>56
[3,5,1,4,2,6]=>44
[3,5,1,4,6,2]=>88
[3,5,1,6,2,4]=>100
[3,5,1,6,4,2]=>132
[3,5,2,1,4,6]=>36
[3,5,2,1,6,4]=>72
[3,5,2,4,1,6]=>60
[3,5,2,4,6,1]=>120
[3,5,2,6,1,4]=>132
[3,5,2,6,4,1]=>180
[3,5,4,1,2,6]=>60
[3,5,4,1,6,2]=>120
[3,5,4,2,1,6]=>72
[3,5,4,2,6,1]=>144
[3,5,4,6,1,2]=>192
[3,5,4,6,2,1]=>216
[3,5,6,1,2,4]=>152
[3,5,6,1,4,2]=>208
[3,5,6,2,1,4]=>180
[3,5,6,2,4,1]=>264
[3,5,6,4,1,2]=>252
[3,5,6,4,2,1]=>288
[3,6,1,2,4,5]=>56
[3,6,1,2,5,4]=>84
[3,6,1,4,2,5]=>88
[3,6,1,4,5,2]=>148
[3,6,1,5,2,4]=>132
[3,6,1,5,4,2]=>180
[3,6,2,1,4,5]=>72
[3,6,2,1,5,4]=>108
[3,6,2,4,1,5]=>120
[3,6,2,4,5,1]=>204
[3,6,2,5,1,4]=>180
[3,6,2,5,4,1]=>252
[3,6,4,1,2,5]=>120
[3,6,4,1,5,2]=>204
[3,6,4,2,1,5]=>144
[3,6,4,2,5,1]=>252
[3,6,4,5,1,2]=>284
[3,6,4,5,2,1]=>324
[3,6,5,1,2,4]=>180
[3,6,5,1,4,2]=>252
[3,6,5,2,1,4]=>216
[3,6,5,2,4,1]=>324
[3,6,5,4,1,2]=>312
[3,6,5,4,2,1]=>360
[4,1,2,3,5,6]=>8
[4,1,2,3,6,5]=>16
[4,1,2,5,3,6]=>16
[4,1,2,5,6,3]=>32
[4,1,2,6,3,5]=>32
[4,1,2,6,5,3]=>48
[4,1,3,2,5,6]=>12
[4,1,3,2,6,5]=>24
[4,1,3,5,2,6]=>24
[4,1,3,5,6,2]=>48
[4,1,3,6,2,5]=>48
[4,1,3,6,5,2]=>72
[4,1,5,2,3,6]=>28
[4,1,5,2,6,3]=>56
[4,1,5,3,2,6]=>36
[4,1,5,3,6,2]=>72
[4,1,5,6,2,3]=>92
[4,1,5,6,3,2]=>108
[4,1,6,2,3,5]=>56
[4,1,6,2,5,3]=>88
[4,1,6,3,2,5]=>72
[4,1,6,3,5,2]=>120
[4,1,6,5,2,3]=>120
[4,1,6,5,3,2]=>144
[4,2,1,3,5,6]=>12
[4,2,1,3,6,5]=>24
[4,2,1,5,3,6]=>24
[4,2,1,5,6,3]=>48
[4,2,1,6,3,5]=>48
[4,2,1,6,5,3]=>72
[4,2,3,1,5,6]=>20
[4,2,3,1,6,5]=>40
[4,2,3,5,1,6]=>40
[4,2,3,5,6,1]=>80
[4,2,3,6,1,5]=>80
[4,2,3,6,5,1]=>120
[4,2,5,1,3,6]=>44
[4,2,5,1,6,3]=>88
[4,2,5,3,1,6]=>60
[4,2,5,3,6,1]=>120
[4,2,5,6,1,3]=>148
[4,2,5,6,3,1]=>180
[4,2,6,1,3,5]=>88
[4,2,6,1,5,3]=>136
[4,2,6,3,1,5]=>120
[4,2,6,3,5,1]=>200
[4,2,6,5,1,3]=>192
[4,2,6,5,3,1]=>240
[4,3,1,2,5,6]=>18
[4,3,1,2,6,5]=>36
[4,3,1,5,2,6]=>36
[4,3,1,5,6,2]=>72
[4,3,1,6,2,5]=>72
[4,3,1,6,5,2]=>108
[4,3,2,1,5,6]=>24
[4,3,2,1,6,5]=>48
[4,3,2,5,1,6]=>48
[4,3,2,5,6,1]=>96
[4,3,2,6,1,5]=>96
[4,3,2,6,5,1]=>144
[4,3,5,1,2,6]=>60
[4,3,5,1,6,2]=>120
[4,3,5,2,1,6]=>72
[4,3,5,2,6,1]=>144
[4,3,5,6,1,2]=>192
[4,3,5,6,2,1]=>216
[4,3,6,1,2,5]=>120
[4,3,6,1,5,2]=>192
[4,3,6,2,1,5]=>144
[4,3,6,2,5,1]=>240
[4,3,6,5,1,2]=>252
[4,3,6,5,2,1]=>288
[4,5,1,2,3,6]=>46
[4,5,1,2,6,3]=>92
[4,5,1,3,2,6]=>60
[4,5,1,3,6,2]=>120
[4,5,1,6,2,3]=>152
[4,5,1,6,3,2]=>180
[4,5,2,1,3,6]=>60
[4,5,2,1,6,3]=>120
[4,5,2,3,1,6]=>88
[4,5,2,3,6,1]=>176
[4,5,2,6,1,3]=>208
[4,5,2,6,3,1]=>264
[4,5,3,1,2,6]=>78
[4,5,3,1,6,2]=>156
[4,5,3,2,1,6]=>96
[4,5,3,2,6,1]=>192
[4,5,3,6,1,2]=>252
[4,5,3,6,2,1]=>288
[4,5,6,1,2,3]=>230
[4,5,6,1,3,2]=>276
[4,5,6,2,1,3]=>276
[4,5,6,2,3,1]=>368
[4,5,6,3,1,2]=>330
[4,5,6,3,2,1]=>384
[4,6,1,2,3,5]=>92
[4,6,1,2,5,3]=>148
[4,6,1,3,2,5]=>120
[4,6,1,3,5,2]=>204
[4,6,1,5,2,3]=>208
[4,6,1,5,3,2]=>252
[4,6,2,1,3,5]=>120
[4,6,2,1,5,3]=>192
[4,6,2,3,1,5]=>176
[4,6,2,3,5,1]=>304
[4,6,2,5,1,3]=>296
[4,6,2,5,3,1]=>384
[4,6,3,1,2,5]=>156
[4,6,3,1,5,2]=>264
[4,6,3,2,1,5]=>192
[4,6,3,2,5,1]=>336
[4,6,3,5,1,2]=>372
[4,6,3,5,2,1]=>432
[4,6,5,1,2,3]=>276
[4,6,5,1,3,2]=>336
[4,6,5,2,1,3]=>336
[4,6,5,2,3,1]=>456
[4,6,5,3,1,2]=>408
[4,6,5,3,2,1]=>480
[5,1,2,3,4,6]=>16
[5,1,2,3,6,4]=>32
[5,1,2,4,3,6]=>24
[5,1,2,4,6,3]=>48
[5,1,2,6,3,4]=>56
[5,1,2,6,4,3]=>72
[5,1,3,2,4,6]=>24
[5,1,3,2,6,4]=>48
[5,1,3,4,2,6]=>40
[5,1,3,4,6,2]=>80
[5,1,3,6,2,4]=>88
[5,1,3,6,4,2]=>120
[5,1,4,2,3,6]=>36
[5,1,4,2,6,3]=>72
[5,1,4,3,2,6]=>48
[5,1,4,3,6,2]=>96
[5,1,4,6,2,3]=>120
[5,1,4,6,3,2]=>144
[5,1,6,2,3,4]=>92
[5,1,6,2,4,3]=>120
[5,1,6,3,2,4]=>120
[5,1,6,3,4,2]=>176
[5,1,6,4,2,3]=>156
[5,1,6,4,3,2]=>192
[5,2,1,3,4,6]=>24
[5,2,1,3,6,4]=>48
[5,2,1,4,3,6]=>36
[5,2,1,4,6,3]=>72
[5,2,1,6,3,4]=>84
[5,2,1,6,4,3]=>108
[5,2,3,1,4,6]=>40
[5,2,3,1,6,4]=>80
[5,2,3,4,1,6]=>68
[5,2,3,4,6,1]=>136
[5,2,3,6,1,4]=>148
[5,2,3,6,4,1]=>204
[5,2,4,1,3,6]=>60
[5,2,4,1,6,3]=>120
[5,2,4,3,1,6]=>84
[5,2,4,3,6,1]=>168
[5,2,4,6,1,3]=>204
[5,2,4,6,3,1]=>252
[5,2,6,1,3,4]=>148
[5,2,6,1,4,3]=>192
[5,2,6,3,1,4]=>204
[5,2,6,3,4,1]=>304
[5,2,6,4,1,3]=>264
[5,2,6,4,3,1]=>336
[5,3,1,2,4,6]=>36
[5,3,1,2,6,4]=>72
[5,3,1,4,2,6]=>60
[5,3,1,4,6,2]=>120
[5,3,1,6,2,4]=>132
[5,3,1,6,4,2]=>180
[5,3,2,1,4,6]=>48
[5,3,2,1,6,4]=>96
[5,3,2,4,1,6]=>84
[5,3,2,4,6,1]=>168
[5,3,2,6,1,4]=>180
[5,3,2,6,4,1]=>252
[5,3,4,1,2,6]=>88
[5,3,4,1,6,2]=>176
[5,3,4,2,1,6]=>108
[5,3,4,2,6,1]=>216
[5,3,4,6,1,2]=>284
[5,3,4,6,2,1]=>324
[5,3,6,1,2,4]=>208
[5,3,6,1,4,2]=>296
[5,3,6,2,1,4]=>252
[5,3,6,2,4,1]=>384
[5,3,6,4,1,2]=>372
[5,3,6,4,2,1]=>432
[5,4,1,2,3,6]=>54
[5,4,1,2,6,3]=>108
[5,4,1,3,2,6]=>72
[5,4,1,3,6,2]=>144
[5,4,1,6,2,3]=>180
[5,4,1,6,3,2]=>216
[5,4,2,1,3,6]=>72
[5,4,2,1,6,3]=>144
[5,4,2,3,1,6]=>108
[5,4,2,3,6,1]=>216
[5,4,2,6,1,3]=>252
[5,4,2,6,3,1]=>324
[5,4,3,1,2,6]=>96
[5,4,3,1,6,2]=>192
[5,4,3,2,1,6]=>120
[5,4,3,2,6,1]=>240
[5,4,3,6,1,2]=>312
[5,4,3,6,2,1]=>360
[5,4,6,1,2,3]=>276
[5,4,6,1,3,2]=>336
[5,4,6,2,1,3]=>336
[5,4,6,2,3,1]=>456
[5,4,6,3,1,2]=>408
[5,4,6,3,2,1]=>480
[5,6,1,2,3,4]=>146
[5,6,1,2,4,3]=>192
[5,6,1,3,2,4]=>192
[5,6,1,3,4,2]=>284
[5,6,1,4,2,3]=>252
[5,6,1,4,3,2]=>312
[5,6,2,1,3,4]=>192
[5,6,2,1,4,3]=>252
[5,6,2,3,1,4]=>284
[5,6,2,3,4,1]=>436
[5,6,2,4,1,3]=>372
[5,6,2,4,3,1]=>492
[5,6,3,1,2,4]=>252
[5,6,3,1,4,2]=>372
[5,6,3,2,1,4]=>312
[5,6,3,2,4,1]=>492
[5,6,3,4,1,2]=>488
[5,6,3,4,2,1]=>576
[5,6,4,1,2,3]=>330
[5,6,4,1,3,2]=>408
[5,6,4,2,1,3]=>408
[5,6,4,2,3,1]=>564
[5,6,4,3,1,2]=>504
[5,6,4,3,2,1]=>600
[6,1,2,3,4,5]=>32
[6,1,2,3,5,4]=>48
[6,1,2,4,3,5]=>48
[6,1,2,4,5,3]=>80
[6,1,2,5,3,4]=>72
[6,1,2,5,4,3]=>96
[6,1,3,2,4,5]=>48
[6,1,3,2,5,4]=>72
[6,1,3,4,2,5]=>80
[6,1,3,4,5,2]=>136
[6,1,3,5,2,4]=>120
[6,1,3,5,4,2]=>168
[6,1,4,2,3,5]=>72
[6,1,4,2,5,3]=>120
[6,1,4,3,2,5]=>96
[6,1,4,3,5,2]=>168
[6,1,4,5,2,3]=>176
[6,1,4,5,3,2]=>216
[6,1,5,2,3,4]=>108
[6,1,5,2,4,3]=>144
[6,1,5,3,2,4]=>144
[6,1,5,3,4,2]=>216
[6,1,5,4,2,3]=>192
[6,1,5,4,3,2]=>240
[6,2,1,3,4,5]=>48
[6,2,1,3,5,4]=>72
[6,2,1,4,3,5]=>72
[6,2,1,4,5,3]=>120
[6,2,1,5,3,4]=>108
[6,2,1,5,4,3]=>144
[6,2,3,1,4,5]=>80
[6,2,3,1,5,4]=>120
[6,2,3,4,1,5]=>136
[6,2,3,4,5,1]=>232
[6,2,3,5,1,4]=>204
[6,2,3,5,4,1]=>288
[6,2,4,1,3,5]=>120
[6,2,4,1,5,3]=>200
[6,2,4,3,1,5]=>168
[6,2,4,3,5,1]=>296
[6,2,4,5,1,3]=>304
[6,2,4,5,3,1]=>384
[6,2,5,1,3,4]=>180
[6,2,5,1,4,3]=>240
[6,2,5,3,1,4]=>252
[6,2,5,3,4,1]=>384
[6,2,5,4,1,3]=>336
[6,2,5,4,3,1]=>432
[6,3,1,2,4,5]=>72
[6,3,1,2,5,4]=>108
[6,3,1,4,2,5]=>120
[6,3,1,4,5,2]=>204
[6,3,1,5,2,4]=>180
[6,3,1,5,4,2]=>252
[6,3,2,1,4,5]=>96
[6,3,2,1,5,4]=>144
[6,3,2,4,1,5]=>168
[6,3,2,4,5,1]=>288
[6,3,2,5,1,4]=>252
[6,3,2,5,4,1]=>360
[6,3,4,1,2,5]=>176
[6,3,4,1,5,2]=>304
[6,3,4,2,1,5]=>216
[6,3,4,2,5,1]=>384
[6,3,4,5,1,2]=>436
[6,3,4,5,2,1]=>504
[6,3,5,1,2,4]=>264
[6,3,5,1,4,2]=>384
[6,3,5,2,1,4]=>324
[6,3,5,2,4,1]=>504
[6,3,5,4,1,2]=>492
[6,3,5,4,2,1]=>576
[6,4,1,2,3,5]=>108
[6,4,1,2,5,3]=>180
[6,4,1,3,2,5]=>144
[6,4,1,3,5,2]=>252
[6,4,1,5,2,3]=>264
[6,4,1,5,3,2]=>324
[6,4,2,1,3,5]=>144
[6,4,2,1,5,3]=>240
[6,4,2,3,1,5]=>216
[6,4,2,3,5,1]=>384
[6,4,2,5,1,3]=>384
[6,4,2,5,3,1]=>504
[6,4,3,1,2,5]=>192
[6,4,3,1,5,2]=>336
[6,4,3,2,1,5]=>240
[6,4,3,2,5,1]=>432
[6,4,3,5,1,2]=>492
[6,4,3,5,2,1]=>576
[6,4,5,1,2,3]=>368
[6,4,5,1,3,2]=>456
[6,4,5,2,1,3]=>456
[6,4,5,2,3,1]=>632
[6,4,5,3,1,2]=>564
[6,4,5,3,2,1]=>672
[6,5,1,2,3,4]=>162
[6,5,1,2,4,3]=>216
[6,5,1,3,2,4]=>216
[6,5,1,3,4,2]=>324
[6,5,1,4,2,3]=>288
[6,5,1,4,3,2]=>360
[6,5,2,1,3,4]=>216
[6,5,2,1,4,3]=>288
[6,5,2,3,1,4]=>324
[6,5,2,3,4,1]=>504
[6,5,2,4,1,3]=>432
[6,5,2,4,3,1]=>576
[6,5,3,1,2,4]=>288
[6,5,3,1,4,2]=>432
[6,5,3,2,1,4]=>360
[6,5,3,2,4,1]=>576
[6,5,3,4,1,2]=>576
[6,5,3,4,2,1]=>684
[6,5,4,1,2,3]=>384
[6,5,4,1,3,2]=>480
[6,5,4,2,1,3]=>480
[6,5,4,2,3,1]=>672
[6,5,4,3,1,2]=>600
[6,5,4,3,2,1]=>720
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Description
The number of elements less than or equal to the given element in Bruhat order.
Code
def statistic(pi): return len([y for y in Permutations(pi.size()) if y.bruhat_lequal(pi)])
Created
Jun 15, 2013 at 13:19 by Chris Berg
Updated
Apr 01, 2015 at 21:31 by Martin Rubey
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