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A326475

A(n, k) = (m*k)! [x^k] MittagLefflerE(m, x)^(-n), for m = 3, n >= 0, k >= 0; square array read by descending antidiagonals.

1, 0, 1, 0, -1, 1, 0, 19, -2, 1, 0, -1513, 58, -3, 1, 0, 315523, -6218, 117, -4, 1, 0, -136085041, 1630330, -15795, 196, -5, 1, 0, 105261234643, -847053482, 4997781, -31924, 295, -6, 1, 0, -132705221399353, 766492673914, -3042574083, 11840836, -56285, 414, -7, 1

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OFFSET

0,8

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Array starts:

[0] 1, 0, 0, 0, 0, 0, ... A000007

[1] 1, -1, 19, -1513, 315523, -136085041, ... A002115

[2] 1, -2, 58, -6218, 1630330, -847053482, ...

[3] 1, -3, 117, -15795, 4997781, -3042574083, ...

[4] 1, -4, 196, -31924, 11840836, -8271354004, ...