A326585 Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 4 and 0 <= k <= n.

1, 0, 1, 0, 36, 35, 0, 12046, 17820, 5775, 0, 16674906, 30263480, 16216200, 2627625, 0, 65544211366, 135417565890, 93516348900, 26189163000, 2546168625, 0, 588586227465426, 1334168329550300, 1083314031995250, 402794176785000, 69571511509500, 4509264634875

Offset

0,5

Links

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

Formula

T(n, k) = T_{4}(n, k) where T_{m}(n, k) is defined in A326477.

Example

Triangle starts:
[0] [1]
[1] [0, 1]
[2] [0, 36, 35]
[3] [0, 12046, 17820, 5775]
[4] [0, 16674906, 30263480, 16216200, 2627625]
[5] [0, 65544211366, 135417565890, 93516348900, 26189163000, 2546168625]
[6] [0, 588586227465426, 1334168329550300, 1083314031995250, 402794176785000, 69571511509500, 4509264634875]

Maple

# See A326477.

Crossrefs

Row sums A243665. Main diagonal A025036.

A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), A326587 (m=3, associated with A278073), this sequence (m=4, associated with A278074).

Sequence in context: A217405 A291472 A291493 * A022992 A023478 A063045

Adjacent sequences: A326582 A326583 A326584 * A326586 A326587 A326588

Keyword

nonn,tabl

Author

Peter Luschny, Jul 21 2019

Status

approved