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 A218380 Number of partitions of n into distinct pentagonal parts. 9
 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 February 28 08:28 EST 2020. Contains 332323 sequences. (Running on oeis4.)