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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 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 April 22 06:39 EDT 2024. Contains 371888 sequences. (Running on oeis4.)