Your data matches 3 different statistics following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St000419
Mapping
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00231: Integer compositions —bounce path⟶ Dyck paths
Mp00101: Dyck paths —decomposition reverse⟶ Dyck paths
St000419: Dyck paths ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,2] => [2] => [1,1,0,0]
 => [1,0,1,0]
 => 1
[2,1] => [1,1] => [1,0,1,0]
 => [1,1,0,0]
 => 0
[1,2,3] => [3] => [1,1,1,0,0,0]
 => [1,0,1,0,1,0]
 => 4
[1,3,2] => [2,1] => [1,1,0,0,1,0]
 => [1,1,0,0,1,0]
 => 2
[2,1,3] => [1,2] => [1,0,1,1,0,0]
 => [1,1,0,1,0,0]
 => 1
[2,3,1] => [2,1] => [1,1,0,0,1,0]
 => [1,1,0,0,1,0]
 => 2
[3,1,2] => [1,2] => [1,0,1,1,0,0]
 => [1,1,0,1,0,0]
 => 1
[3,2,1] => [1,1,1] => [1,0,1,0,1,0]
 => [1,1,1,0,0,0]
 => 0
[1,2,3,4] => [4] => [1,1,1,1,0,0,0,0]
 => [1,0,1,0,1,0,1,0]
 => 13
[1,2,4,3] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 8
[1,3,2,4] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 6
[1,3,4,2] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 8
[1,4,2,3] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 6
[1,4,3,2] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 3
[2,1,3,4] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 4
[2,1,4,3] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 2
[2,3,1,4] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 6
[2,3,4,1] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 8
[2,4,1,3] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 6
[2,4,3,1] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 3
[3,1,2,4] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 4
[3,1,4,2] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 2
[3,2,1,4] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 1
[3,2,4,1] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 2
[3,4,1,2] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 6
[3,4,2,1] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 3
[4,1,2,3] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 4
[4,1,3,2] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 2
[4,2,1,3] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 1
[4,2,3,1] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 2
[4,3,1,2] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 1
[4,3,2,1] => [1,1,1,1] => [1,0,1,0,1,0,1,0]
 => [1,1,1,1,0,0,0,0]
 => 0
[1,2,3,4,5] => [5] => [1,1,1,1,1,0,0,0,0,0]
 => [1,0,1,0,1,0,1,0,1,0]
 => 41
[1,2,3,5,4] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 27
[1,2,4,3,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 22
[1,2,4,5,3] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 27
[1,2,5,3,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 22
[1,2,5,4,3] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 13
[1,3,2,4,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0,1,0]
 => 18
[1,3,2,5,4] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 11
[1,3,4,2,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 22
[1,3,4,5,2] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 27
[1,3,5,2,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 22
[1,3,5,4,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 13
[1,4,2,3,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0,1,0]
 => 18
[1,4,2,5,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 11
[1,4,3,2,5] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0,1,0]
 => 8
[1,4,3,5,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 11
[1,4,5,2,3] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 22
[1,4,5,3,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 13
Description
The number of Dyck paths that are weakly above the Dyck path, except for the path itself.
Matching statistic: St000420
Mapping
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00231: Integer compositions —bounce path⟶ Dyck paths
Mp00101: Dyck paths —decomposition reverse⟶ Dyck paths
St000420: Dyck paths ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,2] => [2] => [1,1,0,0]
 => [1,0,1,0]
 => 2 = 1 + 1
[2,1] => [1,1] => [1,0,1,0]
 => [1,1,0,0]
 => 1 = 0 + 1
[1,2,3] => [3] => [1,1,1,0,0,0]
 => [1,0,1,0,1,0]
 => 5 = 4 + 1
[1,3,2] => [2,1] => [1,1,0,0,1,0]
 => [1,1,0,0,1,0]
 => 3 = 2 + 1
[2,1,3] => [1,2] => [1,0,1,1,0,0]
 => [1,1,0,1,0,0]
 => 2 = 1 + 1
[2,3,1] => [2,1] => [1,1,0,0,1,0]
 => [1,1,0,0,1,0]
 => 3 = 2 + 1
[3,1,2] => [1,2] => [1,0,1,1,0,0]
 => [1,1,0,1,0,0]
 => 2 = 1 + 1
[3,2,1] => [1,1,1] => [1,0,1,0,1,0]
 => [1,1,1,0,0,0]
 => 1 = 0 + 1
[1,2,3,4] => [4] => [1,1,1,1,0,0,0,0]
 => [1,0,1,0,1,0,1,0]
 => 14 = 13 + 1
[1,2,4,3] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 9 = 8 + 1
[1,3,2,4] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 7 = 6 + 1
[1,3,4,2] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 9 = 8 + 1
[1,4,2,3] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 7 = 6 + 1
[1,4,3,2] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 4 = 3 + 1
[2,1,3,4] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 5 = 4 + 1
[2,1,4,3] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 3 = 2 + 1
[2,3,1,4] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 7 = 6 + 1
[2,3,4,1] => [3,1] => [1,1,1,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0]
 => 9 = 8 + 1
[2,4,1,3] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 7 = 6 + 1
[2,4,3,1] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 4 = 3 + 1
[3,1,2,4] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 5 = 4 + 1
[3,1,4,2] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 3 = 2 + 1
[3,2,1,4] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 2 = 1 + 1
[3,2,4,1] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 3 = 2 + 1
[3,4,1,2] => [2,2] => [1,1,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0]
 => 7 = 6 + 1
[3,4,2,1] => [2,1,1] => [1,1,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0]
 => 4 = 3 + 1
[4,1,2,3] => [1,3] => [1,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0]
 => 5 = 4 + 1
[4,1,3,2] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 3 = 2 + 1
[4,2,1,3] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 2 = 1 + 1
[4,2,3,1] => [1,2,1] => [1,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0]
 => 3 = 2 + 1
[4,3,1,2] => [1,1,2] => [1,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0]
 => 2 = 1 + 1
[4,3,2,1] => [1,1,1,1] => [1,0,1,0,1,0,1,0]
 => [1,1,1,1,0,0,0,0]
 => 1 = 0 + 1
[1,2,3,4,5] => [5] => [1,1,1,1,1,0,0,0,0,0]
 => [1,0,1,0,1,0,1,0,1,0]
 => 42 = 41 + 1
[1,2,3,5,4] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 28 = 27 + 1
[1,2,4,3,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 23 = 22 + 1
[1,2,4,5,3] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 28 = 27 + 1
[1,2,5,3,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 23 = 22 + 1
[1,2,5,4,3] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 14 = 13 + 1
[1,3,2,4,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0,1,0]
 => 19 = 18 + 1
[1,3,2,5,4] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 12 = 11 + 1
[1,3,4,2,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 23 = 22 + 1
[1,3,4,5,2] => [4,1] => [1,1,1,1,0,0,0,0,1,0]
 => [1,1,0,0,1,0,1,0,1,0]
 => 28 = 27 + 1
[1,3,5,2,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 23 = 22 + 1
[1,3,5,4,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 14 = 13 + 1
[1,4,2,3,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0]
 => [1,1,0,1,0,1,0,0,1,0]
 => 19 = 18 + 1
[1,4,2,5,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 12 = 11 + 1
[1,4,3,2,5] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0]
 => [1,1,1,0,1,0,0,0,1,0]
 => 9 = 8 + 1
[1,4,3,5,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0]
 => [1,1,1,0,0,1,0,0,1,0]
 => 12 = 11 + 1
[1,4,5,2,3] => [3,2] => [1,1,1,0,0,0,1,1,0,0]
 => [1,1,0,1,0,0,1,0,1,0]
 => 23 = 22 + 1
[1,4,5,3,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0]
 => [1,1,1,0,0,0,1,0,1,0]
 => 14 = 13 + 1
Description
The number of Dyck paths that are weakly above a Dyck path.
Matching statistic: St000280
(load all 11 compositions to match this statistic)
Mapping
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
St000280: Permutations ⟶ ℤResult quality: 33% ●values known / values provided: 33%●distinct values known / distinct values provided: 92%
Values
[1,2] => [1,2] => 2 = 1 + 1
[2,1] => [2,1] => 1 = 0 + 1
[1,2,3] => [1,2,3] => 5 = 4 + 1
[1,3,2] => [1,3,2] => 3 = 2 + 1
[2,1,3] => [2,1,3] => 2 = 1 + 1
[2,3,1] => [1,3,2] => 3 = 2 + 1
[3,1,2] => [3,1,2] => 2 = 1 + 1
[3,2,1] => [3,2,1] => 1 = 0 + 1
[1,2,3,4] => [1,2,3,4] => 14 = 13 + 1
[1,2,4,3] => [1,2,4,3] => 9 = 8 + 1
[1,3,2,4] => [1,3,2,4] => 7 = 6 + 1
[1,3,4,2] => [1,2,4,3] => 9 = 8 + 1
[1,4,2,3] => [1,4,2,3] => 7 = 6 + 1
[1,4,3,2] => [1,4,3,2] => 4 = 3 + 1
[2,1,3,4] => [2,1,3,4] => 5 = 4 + 1
[2,1,4,3] => [2,1,4,3] => 3 = 2 + 1
[2,3,1,4] => [1,3,2,4] => 7 = 6 + 1
[2,3,4,1] => [1,2,4,3] => 9 = 8 + 1
[2,4,1,3] => [2,4,1,3] => 7 = 6 + 1
[2,4,3,1] => [1,4,3,2] => 4 = 3 + 1
[3,1,2,4] => [3,1,2,4] => 5 = 4 + 1
[3,1,4,2] => [2,1,4,3] => 3 = 2 + 1
[3,2,1,4] => [3,2,1,4] => 2 = 1 + 1
[3,2,4,1] => [2,1,4,3] => 3 = 2 + 1
[3,4,1,2] => [2,4,1,3] => 7 = 6 + 1
[3,4,2,1] => [1,4,3,2] => 4 = 3 + 1
[4,1,2,3] => [4,1,2,3] => 5 = 4 + 1
[4,1,3,2] => [4,1,3,2] => 3 = 2 + 1
[4,2,1,3] => [4,2,1,3] => 2 = 1 + 1
[4,2,3,1] => [4,1,3,2] => 3 = 2 + 1
[4,3,1,2] => [4,3,1,2] => 2 = 1 + 1
[4,3,2,1] => [4,3,2,1] => 1 = 0 + 1
[1,2,3,4,5] => [1,2,3,4,5] => 42 = 41 + 1
[1,2,3,5,4] => [1,2,3,5,4] => 28 = 27 + 1
[1,2,4,3,5] => [1,2,4,3,5] => 23 = 22 + 1
[1,2,4,5,3] => [1,2,3,5,4] => 28 = 27 + 1
[1,2,5,3,4] => [1,2,5,3,4] => 23 = 22 + 1
[1,2,5,4,3] => [1,2,5,4,3] => 14 = 13 + 1
[1,3,2,4,5] => [1,3,2,4,5] => 19 = 18 + 1
[1,3,2,5,4] => [1,3,2,5,4] => 12 = 11 + 1
[1,3,4,2,5] => [1,2,4,3,5] => 23 = 22 + 1
[1,3,4,5,2] => [1,2,3,5,4] => 28 = 27 + 1
[1,3,5,2,4] => [1,3,5,2,4] => 23 = 22 + 1
[1,3,5,4,2] => [1,2,5,4,3] => 14 = 13 + 1
[1,4,2,3,5] => [1,4,2,3,5] => 19 = 18 + 1
[1,4,2,5,3] => [1,3,2,5,4] => 12 = 11 + 1
[1,4,3,2,5] => [1,4,3,2,5] => 9 = 8 + 1
[1,4,3,5,2] => [1,3,2,5,4] => 12 = 11 + 1
[1,4,5,2,3] => [1,3,5,2,4] => 23 = 22 + 1
[1,4,5,3,2] => [1,2,5,4,3] => 14 = 13 + 1
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => ? = 201 + 1
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => ? = 135 + 1
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => ? = 112 + 1
[1,4,7,3,2,5,6] => [1,4,7,3,2,5,6] => ? = 94 + 1
[1,4,7,3,2,6,5] => [1,4,7,3,2,6,5] => ? = 60 + 1
[1,4,7,3,6,2,5] => [1,4,7,3,6,2,5] => ? = 112 + 1
[1,4,7,6,2,3,5] => [1,4,7,6,2,3,5] => ? = 94 + 1
[1,4,7,6,3,2,5] => [1,4,7,6,3,2,5] => ? = 46 + 1
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ? = 173 + 1
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ? = 117 + 1
[1,5,2,3,7,4,6] => [1,5,2,3,7,4,6] => ? = 98 + 1
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => ? = 84 + 1
[1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => ? = 54 + 1
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => ? = 98 + 1
[1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => ? = 84 + 1
[1,5,2,7,4,3,6] => [1,5,2,7,4,3,6] => ? = 42 + 1
[1,5,3,2,4,6,7] => [1,5,3,2,4,6,7] => ? = 69 + 1
[1,5,3,2,4,7,6] => [1,5,3,2,4,7,6] => ? = 45 + 1
[1,5,3,2,7,4,6] => [1,5,3,2,7,4,6] => ? = 36 + 1
[1,5,3,4,2,6,7] => [1,5,2,4,3,6,7] => ? = 84 + 1
[1,5,3,4,2,7,6] => [1,5,2,4,3,7,6] => ? = 54 + 1
[1,5,3,4,7,2,6] => [1,5,2,4,7,3,6] => ? = 98 + 1
[1,5,3,7,2,4,6] => [1,5,3,7,2,4,6] => ? = 84 + 1
[1,5,3,7,4,2,6] => [1,5,2,7,4,3,6] => ? = 42 + 1
[1,5,4,2,3,6,7] => [1,5,4,2,3,6,7] => ? = 69 + 1
[1,5,4,2,3,7,6] => [1,5,4,2,3,7,6] => ? = 45 + 1
[1,5,4,2,7,3,6] => [1,5,4,2,7,3,6] => ? = 36 + 1
[1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ? = 28 + 1
[1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ? = 17 + 1
[1,5,4,3,7,2,6] => [1,5,4,3,7,2,6] => ? = 36 + 1
[1,5,4,7,2,3,6] => [1,5,4,7,2,3,6] => ? = 84 + 1
[1,5,4,7,3,2,6] => [1,5,4,7,3,2,6] => ? = 42 + 1
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => ? = 201 + 1
[1,5,7,2,3,6,4] => [1,4,7,2,3,6,5] => ? = 135 + 1
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => ? = 112 + 1
[1,5,7,2,4,6,3] => [1,4,7,2,3,6,5] => ? = 135 + 1
[1,5,7,2,6,3,4] => [1,4,7,2,6,3,5] => ? = 112 + 1
[1,5,7,3,2,4,6] => [1,5,7,3,2,4,6] => ? = 94 + 1
[1,5,7,3,2,6,4] => [1,4,7,3,2,6,5] => ? = 60 + 1
[1,5,7,3,4,2,6] => [1,5,7,2,4,3,6] => ? = 112 + 1
[1,5,7,3,4,6,2] => [1,4,7,2,3,6,5] => ? = 135 + 1
[1,5,7,3,6,2,4] => [1,4,7,3,6,2,5] => ? = 112 + 1
[1,5,7,4,2,3,6] => [1,5,7,4,2,3,6] => ? = 94 + 1
[1,5,7,4,2,6,3] => [1,4,7,3,2,6,5] => ? = 60 + 1
[1,5,7,4,3,2,6] => [1,5,7,4,3,2,6] => ? = 46 + 1
[1,5,7,4,3,6,2] => [1,4,7,3,2,6,5] => ? = 60 + 1
[1,5,7,4,6,2,3] => [1,4,7,3,6,2,5] => ? = 112 + 1
[1,5,7,6,2,3,4] => [1,4,7,6,2,3,5] => ? = 94 + 1
[1,5,7,6,3,2,4] => [1,4,7,6,3,2,5] => ? = 46 + 1
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ? = 173 + 1
Description
The size of the preimage of the map 'to labelling permutation' from Parking functions to Permutations.