A357920 a(n) = Sum_{k=0..floor(n/5)} Stirling1(n - 4*k,k).

1, 0, 0, 0, 0, 1, -1, 2, -6, 24, -119, 717, -5029, 40270, -362606, 3627037, -39903738, 478892051, -6225994449, 87167664184, -1307553837291, 20921303563234, -355667626509575, 6402090252833481, -121640761396741607, 2432831275825738669, -51089718792714854191

Offset

0,8

Links

Table of n, a(n) for n=0..26.

Formula

G.f.: Sum_{k>=0} (-x)^k * Product_{j=0..k-1} (j - x^4).

Prog

(PARI) a(n) = sum(k=0, n\5, stirling(n-4*k, k, 1));
(PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, (-x)^k*prod(j=0, k-1, j-x^4)))

Crossrefs

Cf. A357902, A357919.

Sequence in context: A177523 A005395 A370383 * A358611 A362332 A092495

Adjacent sequences: A357917 A357918 A357919 * A357921 A357922 A357923

Keyword

sign

Author

Seiichi Manyama, Oct 20 2022

Status

approved