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 A359966 #12 Jan 21 2023 02:02:03 %S A359966 1,0,0,-1,0,0,0,0,-1,0,0,1,0,0,0,-1,0,0,1,0,0,0,0,1,-1,0,-1,1,0,0,0,0, %T A359966 1,0,0,-2,0,0,1,1,0,0,-1,1,0,0,-1,-1,-1,0,2,1,0,-1,0,0,1,0,-1,0,0,1, %U A359966 -1,0,0,0,0,-1,0,0,1,0,1,0,-1,-1,0,1,1,0,-2,-1,1,3 %N A359966 Expansion of Product_{k>=2} (1 - x^(k^2-1)) in powers of x. %H A359966 Seiichi Manyama, <a href="/A359966/b359966.txt">Table of n, a(n) for n = 0..10000</a> %F A359966 a(0) = 1; a(n) = -(1/n) * Sum_{k=1..n} A359967(k) * a(n-k). %o A359966 (PARI) my(N=100, x='x+O('x^N)); Vec(prod(k=2, sqrtint(N+1), 1-x^(k^2-1))) %o A359966 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-sum(j=1, i, sumdiv(j, d, issquare(d+1)*d)*v[i-j+1])/i); v; %Y A359966 Cf. A005563, A276516, A359936, A359967. %K A359966 sign %O A359966 0,36 %A A359966 _Seiichi Manyama_, Jan 20 2023