A365631 Number of partitions of n with exactly five part sizes.

1, 2, 5, 10, 20, 36, 58, 95, 147, 222, 323, 462, 636, 889, 1184, 1584, 2060, 2686, 3403, 4353, 5433, 6768, 8319, 10230, 12363, 15011, 17943, 21467, 25403, 30044, 35231, 41294, 48002, 55718, 64328, 74086, 84880, 97071, 110607, 125692, 142313, 160728, 181112, 203438, 228124

Offset: 15

Author

Seiichi Manyama, Sep 13 2023

Keywords

• nonn

Examples

			a(16) = 2 because we have 6+4+3+2+1, 5+4+3+2+1+1.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 15..5000

Crossrefs

A diagonal of A060177.

Column k=5 of A116608.

Cf. A000005, A002133, A002134, A365630.

Cf. A364809.

Programs

Maple

# Using function P from A365676:
A365631 := n -> P(n, 5, n): seq(A365631(n), n = 15..59); # Peter Luschny, Sep 15 2023

Python

from sympy.utilities.iterables import partitions
def A365631(n): return sum(1 for p in partitions(n) if len(p)==5) # Chai Wah Wu, Sep 14 2023

Formula

G.f.: Sum_{0

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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