A373076 Number of partitions of n such that (smallest part) > 5*(number of parts).

1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 16, 16, 18, 19, 21, 22, 25, 26, 29, 31, 34, 36, 40, 42, 46, 49, 53, 56, 61, 64, 69, 73, 78, 82, 88, 92, 98, 103, 109, 114, 121, 126, 133, 139, 146, 152, 161

Offset

0,23

Comments

This sequence is different from A350898.

Links

Table of n, a(n) for n=0..84.

Formula

G.f.: Sum_{k>=0} x^(5*k^2+k)/Product_{j=1..k} (1-x^j).

Prog

(PARI) my(N=90, x='x+O('x^N)); Vec(sum(k=0, N, x^(5*k^2+k)/prod(j=1, k, 1-x^j)))

Crossrefs

Cf. A003106, A373073, A373074, A373075.

Cf. A350899, A373070.

Sequence in context: A110654 A350899 A350898 * A373070 A330878 A373075

Adjacent sequences: A373073 A373074 A373075 * A373077 A373078 A373079

Keyword

nonn

Author

Seiichi Manyama, May 22 2024

Status

approved