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 A353913 #6 May 11 2022 10:37:25
%S A353913 1,-2,1,-28,29,-194,1583,-61328,144153,-1697262,20127867,-191762088,
%T A353913 3978820221,-66586416948,1057400360235,-58260102945024,
%U A353913 370244721585681,-7992573879248406,162968423791332339,-3399970067764816824,88052648301403014789,-2360852841450177138924
%N A353913 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arcsin(x).
%t A353913 nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcSin[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
%Y A353913 Cf. A001818, A353818, A353873, A353914, A353915.
%K A353913 sign
%O A353913 1,2
%A A353913 _Ilya Gutkovskiy_, May 10 2022