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 A357524 #6 Oct 02 2022 10:29:04 %S A357524 1,-1,2,-1,2,0,1,2,0,3,0,4,1,4,2,4,4,4,5,6,6,6,8,8,10,9,11,12,13,14, %T A357524 17,17,20,19,23,24,28,27,30,34,34,40,41,47,48,50,56,62,64,71,72,80,85, %U A357524 91,99,104,113,112,128,135,147,153,159,176,180,196,210,220,233,240,264 %N A357524 Expansion of Product_{k>=1} 1 / (1 + mu(k)*x^k). %t A357524 nmax = 70; CoefficientList[Series[Product[1/(1 + MoebiusMu[k] x^k), {k, 1, nmax}], {x, 0, nmax}], x] %t A357524 a[0] = 1; a[n_] := a[n] = (1/n) Sum[Sum[d (-MoebiusMu[d])^(k/d), {d, Divisors[k]}] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 70}] %Y A357524 Cf. A008683, A117211, A185694, A300663, A306327, A329069, A357521, A357525. %K A357524 sign %O A357524 0,3 %A A357524 _Ilya Gutkovskiy_, Oct 02 2022