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A218380 Number of partitions of n into distinct pentagonal parts. 8
1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,36

LINKS

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

EXAMPLE

A(98)=3 because 98 = 12 + 35 + 51 = 1 + 5 + 92 = 1 + 5 + 22 + 70 with 1, 5, 22, 70, 92 pentagonal numbers.

PROG

(PARI){ for (n=1, 100, m=polcoeff(prod(k=1, truncate(1+sqrt(24*n+1))/6, 1+x^(k*(3*k-1)/2)), n); write("B218380.txt", n, " ", m)) }

CROSSREFS

Cf. A000326, A218379, A290942.

Sequence in context: A268389 A288969 A305355 * A152815 A115296 A059048

Adjacent sequences:  A218377 A218378 A218379 * A218381 A218382 A218383

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 November 16 22:10 EST 2018. Contains 317275 sequences. (Running on oeis4.)