A326587 Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 3 and 0 <= k <= n.

1, 0, 1, 0, 11, 10, 0, 645, 924, 280, 0, 111563, 197802, 101640, 15400, 0, 42567981, 86271640, 57717660, 15415400, 1401400, 0, 30342678923, 67630651098, 53492240256, 19158419280, 3144741600, 190590400

Offset

0,5

Links

Table of n, a(n) for n=0..27.

Formula

T(n, k) = T_{3}(n, k) where T_{m}(n, k) is defined in A326477.

Example

Triangle starts:
0 [1]
1 [0, 1]
2 [0, 11, 10]
3 [0, 645, 924, 280]
4 [0, 111563, 197802, 101640, 15400]
5 [0, 42567981, 86271640, 57717660, 15415400, 1401400]
6 [0, 30342678923, 67630651098, 53492240256, 19158419280, 3144741600, 190590400]

Maple

# See A326477.

Crossrefs

Row sums A243664. Main diagonal A025035.

A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), this sequence (m=3, associated with A278073), A326585 (m=4, associated with A278074).

Sequence in context: A220664 A038323 A121154 * A256078 A078200 A105034

Adjacent sequences: A326584 A326585 A326586 * A326588 A326589 A326590

Keyword

nonn,tabl

Author

Peter Luschny, Jul 20 2019

Status

approved