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 A354055 #6 May 17 2022 07:25:35 %S A354055 1,-2,-1,4,-19,164,-659,1408,-18775,642224,-3578279,-21642752, %T A354055 -476298835,11904106304,25626362581,68669145088,-20903398375855, %U A354055 212840905389824,-6399968826052559,-78465506362130432,1010700510694925525,101465632831736751104,-1123931378903214542099 %N A354055 Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + sin(x). %F A354055 E.g.f.: Sum_{k>=1} mu(k) * log(1 + sin(x^k)) / k. %t A354055 nmax = 23; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + Sin[x^k]]/k, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest %Y A354055 Cf. A170914, A170915, A328186, A328191, A353607, A353873, A354056, A354063, A354064, A354065, A354066. %K A354055 sign %O A354055 1,2 %A A354055 _Ilya Gutkovskiy_, May 16 2022