cp's OEIS Frontend

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.

A353928 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arctanh(x).

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%I A353928 #4 May 11 2022 22:46:57
%S A353928 1,-2,2,-32,64,-464,3968,-92672,414720,-5486592,68247552,-869895168,
%T A353928 15949529088,-299609505792,5012834549760,-177156842717184,
%U A353928 2119956936523776,-50954009373573120,1123874181449515008,-29311973327486582784,730049769522063212544,-22005690087484302557184
%N A353928 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arctanh(x).
%t A353928 nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcTanh[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
%Y A353928 Cf. A010050, A353821, A353912, A353913, A353914, A353915.
%K A353928 sign
%O A353928 1,2
%A A353928 _Ilya Gutkovskiy_, May 11 2022