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A218379 Number of partitions of n into pentagonal parts. 9
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 11, 11, 13, 13, 14, 15, 15, 17, 17, 19, 21, 22, 24, 24, 26, 28, 29, 31, 31, 34, 36, 38, 41, 42, 45, 47, 50, 53, 54, 57, 59, 63, 67, 69, 73, 76, 80, 84, 87, 91, 94, 99, 103, 107, 112, 118, 124 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 1..100 from Antonio Roldán)

EXAMPLE

A(15)=5 because 15 = 12+1+1+1 = 5+5+5 = 5+5+1+1+1+1+1 = 5+1+1+1+1+1+1+1+1+1+1 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 with 12, 5, 1 pentagonal numbers.

PROG

(PARI) {for (n=1, 100, p=truncate((1+sqrt(24*n+1))/6); m=polcoeff(prod(k=1, p, q=(3*k-1)*k/2; sum(h=0, truncate(n/q+1), x^(h*q))), n); write("B218379.txt", n, " ", m))}

CROSSREFS

Cf. A000326, A095699.

Sequence in context: A025788 A071806 A025781 * A242763 A018119 A177001

Adjacent sequences:  A218376 A218377 A218378 * A218380 A218381 A218382

KEYWORD

nonn

AUTHOR

Antonio Roldán, Oct 27 2012

EXTENSIONS

a(0) = 1 prepended by Seiichi Manyama, Dec 09 2017

STATUS

approved

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Last modified January 23 00:58 EST 2018. Contains 298093 sequences.