This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A331484 #19 May 05 2021 01:52:50 %S A331484 1,-1,2,-2,3,-3,3,-2,-1,5,-13,22,-36,51,-68,82,-86,75,-31,-52,201, %T A331484 -421,732,-1125,1575,-2024,2344,-2370,1807,-327,-2532,7210,-14128, %U A331484 23486,-35027,47799,-59594,66717,-63246,41012,10696,-104335,252653,-465825,746343 %N A331484 Expansion of 1/(1 + x*Product_{k>=1} (1 - x^k)). %H A331484 Seiichi Manyama, <a href="/A331484/b331484.txt">Table of n, a(n) for n = 0..5000</a> %F A331484 a(0) = 1, a(n) = -Sum_{k=1..n} A010815(k-1)*a(n-k) for n > 0. %t A331484 m = 44; CoefficientList[Series[1/(1 + x*Product[1 - x^k, {k, 1, m}]), {x, 0, m}], x] (* _Amiram Eldar_, May 05 2021 *) %o A331484 (PARI) N=66; x='x+O('x^N); Vec(1/(1+x*prod(k=1, N, 1-x^k))) %Y A331484 Cf. similar sequences: A067687, A299105, A299106, A299208, A302017, A318581, A318582. %Y A331484 Cf. A010815. %K A331484 sign %O A331484 0,3 %A A331484 _Seiichi Manyama_, Jan 18 2020