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Triangle of coefficients of the Ln(x) polynomials that give the distribution of the number of odd inversions on the symmetric group.
1

%I #8 Jul 08 2017 00:54:14

%S 1,1,1,1,4,1,1,8,6,8,1,1,12,23,48,23,12,1,1,16,59,137,147,147,137,59,

%T 16,1,1,20,113,300,631,832,1246,832,631,300,113,20,1,1,24,183,620,

%U 1878,2956,5481,5616,6802,5616,5481,2956,1878,620,183,24,1

%N Triangle of coefficients of the Ln(x) polynomials that give the distribution of the number of odd inversions on the symmetric group.

%H Francesco Brenti, Angela Carnevale, <a href="https://arxiv.org/abs/1707.00987">Signed generating functions for odd inversions on descent classes</a>, arXiv:1707.00987 [math.CO], 2017.

%e Triangle begins:

%e 1;

%e 1, 1;

%e 1, 4, 1;

%e 1, 8, 6, 8, 1;

%e 1, 12, 23, 48, 23, 12, 1;

%e ...

%K nonn,tabf,more

%O 1,5

%A _Michel Marcus_, Jul 07 2017