A354251 Expansion of e.g.f. Sum_{k>=0} (3*k)! * (-log(1-x))^k / k!.

1, 6, 726, 365052, 481186836, 1312477120944, 6422029618230000, 51225621215200895520, 621881012244669445985760, 10911233517605729917096273920, 265743399210784245852461349120000, 8697920910678436598411074217669652480

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Formula

a(n) = Sum_{k=0..n} (3*k)! * |Stirling1(n,k)|.

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (3*k)!*(-log(1-x))^k/k!)))
(PARI) a(n) = sum(k=0, n, (3*k)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A007840, A354244.

Cf. A316748, A353118, A354250.

Sequence in context: A202080 A271528 A316748 * A232130 A289365 A251810

Adjacent sequences: A354248 A354249 A354250 * A354252 A354253 A354254

Keyword

nonn

Author

Seiichi Manyama, May 21 2022

Status

approved