A289511 Triangle of coefficients of the Ln(x) polynomials that give the distribution of the number of odd inversions on the symmetric group.

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, 16, 1, 1, 20, 113, 300, 631, 832, 1246, 832, 631, 300, 113, 20, 1, 1, 24, 183, 620, 1878, 2956, 5481, 5616, 6802, 5616, 5481, 2956, 1878, 620, 183, 24, 1

Offset

1,5

Links

Table of n, a(n) for n=1..58.

Francesco Brenti, Angela Carnevale, Signed generating functions for odd inversions on descent classes, arXiv:1707.00987 [math.CO], 2017.

Example

Triangle begins:
1;
1,  1;
1,  4,   1;
1,  8,   6,  8,  1;
1, 12,  23, 48, 23, 12, 1;
...

Crossrefs

Sequence in context: A144447 A051455 A346875 * A158687 A141541 A334552

Adjacent sequences: A289508 A289509 A289510 * A289512 A289513 A289514

Keyword

nonn,tabf,more

Author

Michel Marcus, Jul 07 2017

Status

approved