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 A357525 #6 Oct 02 2022 10:28:59 %S A357525 1,1,-1,-2,-1,0,1,1,0,0,1,0,-2,-2,1,4,3,-2,-4,-2,0,2,3,0,-1,1,0,-3,-3, %T A357525 -1,2,4,3,0,-2,-1,2,0,-5,-3,3,3,0,-2,-4,-2,4,5,3,3,1,-4,-9,-8,3,11,6, %U A357525 0,-3,-7,-4,2,-1,-2,6,8,-2,-10,-8,4,14,11,2,-6,-11,-5 %N A357525 Expansion of Product_{k>=1} (1 + mu(k)*x^k). %t A357525 nmax = 75; CoefficientList[Series[Product[(1 + MoebiusMu[k] x^k), {k, 1, nmax}], {x, 0, nmax}], x] %t A357525 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, 75}] %Y A357525 Cf. A008683, A087188, A117210, A185694, A300663, A306327, A357521, A357524. %K A357525 sign %O A357525 0,4 %A A357525 _Ilya Gutkovskiy_, Oct 02 2022