Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #19 Sep 24 2019 17:33:49
%S 1,-1,1,-1,0,1,-1,2,-1,0,0,-2,2,-2,2,0,-2,3,-5,4,-2,0,4,-6,7,-6,4,1,
%T -4,8,-10,8,-4,-2,9,-13,14,-12,3,4,-14,20,-21,17,-8,-6,19,-28,31,-23,
%U 10,10,-28,41,-41,32,-10,-16,40,-58,58,-44,13,24,-61,81,-84,59,-16,-37,84
%N Expansion of Product_{k>=1} (1 - x^k)^(3/k), where (m/n) is the Kronecker symbol.
%H Seiichi Manyama, <a href="/A327757/b327757.txt">Table of n, a(n) for n = 0..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KroneckerSymbol.html">Kronecker Symbol</a>
%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-x^k)^kronecker(3, k)))
%Y Product_{k>=1} (1 - x^k)^(b/k): A092869 (b=2), A081362 (b=4), A007325 (b=5), A092876 (b=13).
%Y Cf. A091338, A327758.
%K sign,look
%O 0,8
%A _Seiichi Manyama_, Sep 24 2019