A357941 a(n) = Sum_{k=0..floor(n/4)} Stirling2(k,n - 4*k).

1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 3, 1, 0, 1, 7, 6, 1, 1, 15, 25, 10, 2, 31, 90, 65, 16, 64, 301, 350, 141, 148, 967, 1701, 1051, 521, 3053, 7771, 6952, 3157, 9792, 34141, 42527, 23850, 34381, 146500, 246776, 181535, 150513, 623381, 1380556, 1327802, 889022, 2691557, 7530777

Offset

0,15

Links

Table of n, a(n) for n=0..57.

Formula

G.f.: Sum_{k>=0} x^(5*k)/Product_{j=1..k} (1 - j * x^4).

Prog

(PARI) a(n) = sum(k=0, n\4, stirling(k, n-4*k, 2));
(PARI) my(N=60, x='x+O('x^N)); Vec(sum(k=0, N, x^(5*k)/prod(j=1, k, 1-j*x^4)))

Crossrefs

Cf. A357939, A357940.

Cf. A357926.

Sequence in context: A048993 A383902 A264431 * A257050 A274494 A274490

Adjacent sequences: A357938 A357939 A357940 * A357942 A357943 A357944

Keyword

nonn

Author

Seiichi Manyama, Oct 21 2022

Status

approved