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 A346034 #8 Jul 02 2021 16:43:00 %S A346034 1,0,1,-1,0,-1,-1,-1,-2,0,-3,1,-4,3,-5,5,-5,6,-6,10,-7,11,-6,15,-7,14, %T A346034 -7,19,-5,17,-6,23,-7,18,-4,24,-2,16,-3,23,1,13,0,17,-1,7,7,14,6,-7,7, %U A346034 0,12,-13,11,-14,15,-33,21,-27,20,-57,19,-50,29,-73,34,-79,33,-96 %N A346034 a(1) = 1, a(2) = 0; a(n+2) = Sum_{d|n} mu(n/d) * a(d). %F A346034 G.f. A(x) satisfies: A(x) = x + x^2 * Sum_{k>=1} mu(k) * A(x^k). %t A346034 a[1] = 1; a[2] = 0; a[n_] := a[n] = Sum[MoebiusMu[(n - 2)/d] a[d], {d, Divisors[n - 2]}]; Table[a[n], {n, 1, 70}] %t A346034 nmax = 70; A[_] = 0; Do[A[x_] = x + x^2 Sum[MoebiusMu[k] A[x^k], {k, 1, nmax}] + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] // Rest %Y A346034 Cf. A007439, A007554, A008683, A318583, A345138, A345141. %K A346034 sign %O A346034 1,9 %A A346034 _Ilya Gutkovskiy_, Jul 01 2021