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 A352530 #15 Jun 20 2023 07:43:51 %S A352530 1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1, %T A352530 -1,1,-1,1,-1,0,1,-2,3,-4,5,-6,7,-8,9,-10,11,-12,13,-14,15,-16,17,-18, %U A352530 19,-20,21,-22,23,-24,25,-26,27,-28,29,-30,31,-31,30,-28,25,-21,16,-10,3,5,-14,24,-35,47,-60,74,-89,105,-122 %N A352530 Expansion of 1/Sum_{k>=0} x^(k^5). %H A352530 Seiichi Manyama, <a href="/A352530/b352530.txt">Table of n, a(n) for n = 0..10000</a> %o A352530 (PARI) my(N=99, x='x+O('x^N)); Vec(1/sum(k=0, N^(1/5), x^k^5)) %o A352530 (PARI) a(n) = if(n==0, 1, -sum(k=1, n, ispower(k, 5)*a(n-k))); %Y A352530 Cf. A000584, A317665, A323633, A352529. %K A352530 sign %O A352530 0,35 %A A352530 _Seiichi Manyama_, Mar 19 2022