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 A330535 #5 Dec 17 2019 19:11:06 %S A330535 1,1,4,17,112,769,7088,66387,763600,9164721,126474672,1820139771, %T A330535 29458146408,494179557897,9100332756552,174762729699459, %U A330535 3612983961103776,77711328568772193,1784695351000035744,42494646959739633771 %N A330535 Expansion of e.g.f. Product_{k>=1} 1 / (1 - arcsinh(x^k)). %F A330535 E.g.f.: exp(Sum_{k>=1} Sum_{d|k} arcsinh(x^(k/d))^d / d). %t A330535 nmax = 19; CoefficientList[Series[Product[1/(1 - ArcSinh[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! %t A330535 nmax = 19; CoefficientList[Series[Exp[Sum[Sum[ArcSinh[x^(k/d)]^d/d, {d, Divisors[k]}], {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]! %Y A330535 Cf. A001818, A330515, A330534. %K A330535 nonn %O A330535 0,3 %A A330535 _Ilya Gutkovskiy_, Dec 17 2019