Identifier
Identifier
Values
[1] generating graphics... => 1
[2] generating graphics... => 1
[1,1] generating graphics... => 0
[3] generating graphics... => 1
[2,1] generating graphics... => 0
[1,1,1] generating graphics... => 1
[4] generating graphics... => 1
[3,1] generating graphics... => 0
[2,2] generating graphics... => 1
[2,1,1] generating graphics... => 1
[1,1,1,1] generating graphics... => 0
[5] generating graphics... => 1
[4,1] generating graphics... => 0
[3,2] generating graphics... => 1
[3,1,1] generating graphics... => 2
[2,2,1] generating graphics... => 1
[2,1,1,1] generating graphics... => 0
[1,1,1,1,1] generating graphics... => 1
[6] generating graphics... => 1
[5,1] generating graphics... => 0
[4,2] generating graphics... => 2
[4,1,1] generating graphics... => 2
[3,3] generating graphics... => 1
[3,2,1] generating graphics... => 2
[3,1,1,1] generating graphics... => 2
[2,2,2] generating graphics... => 2
[2,2,1,1] generating graphics... => 1
[2,1,1,1,1] generating graphics... => 1
[1,1,1,1,1,1] generating graphics... => 0
[7] generating graphics... => 1
[6,1] generating graphics... => 0
[5,2] generating graphics... => 2
[5,1,1] generating graphics... => 3
[4,3] generating graphics... => 2
[4,2,1] generating graphics... => 5
[4,1,1,1] generating graphics... => 2
[3,3,1] generating graphics... => 3
[3,2,2] generating graphics... => 3
[3,2,1,1] generating graphics... => 5
[3,1,1,1,1] generating graphics... => 3
[2,2,2,1] generating graphics... => 2
[2,2,1,1,1] generating graphics... => 2
[2,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1] generating graphics... => 1
[8] generating graphics... => 1
[7,1] generating graphics... => 0
[6,2] generating graphics... => 3
[6,1,1] generating graphics... => 3
[5,3] generating graphics... => 3
[5,2,1] generating graphics... => 8
[5,1,1,1] generating graphics... => 4
[4,4] generating graphics... => 3
[4,3,1] generating graphics... => 8
[4,2,2] generating graphics... => 8
[4,2,1,1] generating graphics... => 11
[4,1,1,1,1] generating graphics... => 5
[3,3,2] generating graphics... => 5
[3,3,1,1] generating graphics... => 8
[3,2,2,1] generating graphics... => 8
[3,2,1,1,1] generating graphics... => 8
[3,1,1,1,1,1] generating graphics... => 2
[2,2,2,2] generating graphics... => 3
[2,2,2,1,1] generating graphics... => 3
[2,2,1,1,1,1] generating graphics... => 3
[2,1,1,1,1,1,1] generating graphics... => 1
[1,1,1,1,1,1,1,1] generating graphics... => 0
[9] generating graphics... => 1
[8,1] generating graphics... => 0
[7,2] generating graphics... => 3
[7,1,1] generating graphics... => 4
[6,3] generating graphics... => 6
[6,2,1] generating graphics... => 11
[6,1,1,1] generating graphics... => 6
[5,4] generating graphics... => 4
[5,3,1] generating graphics... => 18
[5,2,2] generating graphics... => 14
[5,2,1,1] generating graphics... => 21
[5,1,1,1,1] generating graphics... => 8
[4,4,1] generating graphics... => 10
[4,3,2] generating graphics... => 18
[4,3,1,1] generating graphics... => 24
[4,2,2,1] generating graphics... => 24
[4,2,1,1,1] generating graphics... => 21
[4,1,1,1,1,1] generating graphics... => 6
[3,3,3] generating graphics... => 6
[3,3,2,1] generating graphics... => 18
[3,3,1,1,1] generating graphics... => 14
[3,2,2,2] generating graphics... => 10
[3,2,2,1,1] generating graphics... => 18
[3,2,1,1,1,1] generating graphics... => 11
[3,1,1,1,1,1,1] generating graphics... => 4
[2,2,2,2,1] generating graphics... => 4
[2,2,2,1,1,1] generating graphics... => 6
[2,2,1,1,1,1,1] generating graphics... => 3
[2,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1] generating graphics... => 1
[10] generating graphics... => 1
[9,1] generating graphics... => 0
[8,2] generating graphics... => 4
[8,1,1] generating graphics... => 4
click to show generating function       
Description
The number of standard Young tableaux whose major index is divisible by the size of a given integer partition.
References
[1] Ahlbach, C., Swanson, J. P. Cyclic sieving, necklaces, and branching rules related to Thrall's problem arXiv:1808.06043
Code
def statistic(P):
    return sum(1 for T in StandardTableaux(P) if T.standard_major_index() % P.size() == 0)

Created
Jul 03, 2019 at 22:55 by Martin Rubey
Updated
Jul 03, 2019 at 22:55 by Martin Rubey