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 A353914 #6 May 11 2022 10:37:29 %S A353914 1,-2,-1,-20,-11,46,-547,-29840,-27351,232818,-3258663,-29911848, %T A353914 -390445563,4450393260,-84140635815,-12153983817984,-18431412645519, %U A353914 286688710444842,-6436900596281679,-169286474970429624,-2208721087854287811,41892263643715799796,-1149793471388581053219 %N A353914 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arcsinh(x). %t A353914 nn = 23; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcSinh[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten %Y A353914 Cf. A001818, A353819, A353910, A353913, A353915. %K A353914 sign %O A353914 1,2 %A A353914 _Ilya Gutkovskiy_, May 10 2022