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 A354274 #7 May 23 2022 09:12:52 %S A354274 1,0,-1,4,-11,-4,-547,7680,-7751,81744,-3258663,-9474816,-390445563, %T A354274 233029824,-964154427,4193551958016,-18431412645519,71090090006784, %U A354274 -6436900596281679,17349989459410944,834261829219880829,-241960391975347200,-1149793471388581053219 %N A354274 Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + arcsinh(x). %F A354274 E.g.f.: Sum_{k>=1} A067856(k) * log(1 + arcsinh(x^k)) / k. %t A354274 b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, Sum[Binomial[c[i], j] b[n - i j, i - 1], {j, 0, n/i}]]]; c[n_] := c[n] = {1, 0, -1, 0}[[Mod[n, 4, 1]]] (n - 2)!!/(n (n - 1)!!) - b[n, n - 1]; a[n_] := n! c[n]; Table[a[n], {n, 1, 23}] %Y A354274 Cf. A001818, A067856, A353819, A353914, A353972, A354116, A354172, A354275, A354276. %K A354274 sign %O A354274 1,4 %A A354274 _Ilya Gutkovskiy_, May 22 2022