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 A218380 Number of partitions of n into distinct pentagonal parts. 10
 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 May 24 12:09 EDT 2024. Contains 372773 sequences. (Running on oeis4.)