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 A305633 #5 Jun 08 2018 13:53:49 %S A305633 0,0,1,1,-1,1,1,1,-1,1,1,1,-2,1,1,3,-1,1,2,1,-2,3,1,1,-3,1,1,1,-2,1,1, %T A305633 1,-1,3,1,3,-3,1,1,3,-3,1,1,1,-2,4,1,1,-4,1,2,3,-2,1,3,3,-3,3,1,1,-4, %U A305633 1,1,4,-1,3,1,1,-2,3,1,1,-3,1,1,4,-2,3,1,1,-4 %N A305633 Expansion of Sum_{r not a perfect power} x^r/(1 + x^r). %t A305633 nn=100; %t A305633 wadQ[n_]:=n>1&&GCD@@FactorInteger[n][[All,2]]==1; %t A305633 ser=Sum[x^p/(1+x^p),{p,Select[Range[nn],wadQ]}]; %t A305633 Table[SeriesCoefficient[ser,{x,0,n}],{n,nn}] %Y A305633 Cf. A000607, A001597, A007916, A048165, A081362, A091050, A303707, A304779, A304817, A305614, A305630-A305635. %K A305633 sign %O A305633 0,13 %A A305633 _Gus Wiseman_, Jun 07 2018