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A218379 Number of partitions of n into pentagonal parts. 11
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
Sequence in context: A025788 A071806 A025781 * A242763 A018119 A177001
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 April 22 06:39 EDT 2024. Contains 371888 sequences. (Running on oeis4.)