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A305355 Expansion of Product_{k>=1} (1 - x^(k*(3*k-1)/2)).

%I A305355 #17 Jun 01 2018 06:36:23
%S A305355 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,
%T A305355 0,0,0,1,-2,1,0,0,-1,2,-1,0,0,0,0,0,1,-1,0,0,-1,0,1,0,0,1,0,-1,0,0,0,
%U A305355 -1,2,-1,0,0,0,-1,0,0,1,0,1,0,0,-1,0,-1,1,0,0,1
%N A305355 Expansion of Product_{k>=1} (1 - x^(k*(3*k-1)/2)).
%H A305355 Seiichi Manyama, <a href="/A305355/b305355.txt">Table of n, a(n) for n = 0..10000</a>
%H A305355 Wikipedia, <a href="http://en.wikipedia.org/wiki/Pentagonal_number">Pentagonal number</a>
%p A305355 seq(coeff(series(mul(1-x^(k*(3*k-1)/2),k=1..n), x,n+1),x,n),n=0..140); # _Muniru A Asiru_, May 31 2018
%Y A305355 Product_{k>=1} (1 - x^(k*((m-2)*k-(m-4))/2)): A292518 (m=3), A276516 (m=4), this sequence (m=5).
%Y A305355 Cf. A000326, A218379, A218380.
%K A305355 sign
%O A305355 0,36
%A A305355 _Seiichi Manyama_, May 31 2018