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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
Sequence in context: A268389 A288969 A305355 * A152815 A115296 A059048
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.)