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.

A330534 Expansion of e.g.f. Product_{k>=1} 1 / (1 - arcsin(x^k)).

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%I A330534 #6 Dec 17 2019 19:11:00
%S A330534 1,1,4,19,128,929,9008,88677,1068496,13585713,195465552,2962147101,
%T A330534 50411419368,887757722409,17125724016984,346462040798229,
%U A330534 7503508038803616,169554609033560673,4085808543521351136,102156453049201047981
%N A330534 Expansion of e.g.f. Product_{k>=1} 1 / (1 - arcsin(x^k)).
%F A330534 E.g.f.: exp(Sum_{k>=1} Sum_{d|k} arcsin(x^(k/d))^d / d).
%t A330534 nmax = 19; CoefficientList[Series[Product[1/(1 - ArcSin[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
%t A330534 nmax = 19; CoefficientList[Series[Exp[Sum[Sum[ArcSin[x^(k/d)]^d/d, {d, Divisors[k]}], {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!
%Y A330534 Cf. A001818, A330514, A330535.
%K A330534 nonn
%O A330534 0,3
%A A330534 _Ilya Gutkovskiy_, Dec 17 2019