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.

A375903 E.g.f. satisfies A(x) = (2 - exp(x * A(x)^(1/3)))^3.

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%I A375903 #11 Sep 02 2024 08:38:29
%S A375903 1,-3,9,-18,-57,942,-4299,-33078,786267,-4357818,-84919647,2153185746,
%T A375903 -9754462833,-539983739298,13389257569005,-13826647549926,
%U A375903 -6661768436593725,153336015047780790,938088731006163417,-139051687661849130654,2787586449012275332023
%N A375903 E.g.f. satisfies A(x) = (2 - exp(x * A(x)^(1/3)))^3.
%F A375903 E.g.f.: A(x) = ( (1/x) * Series_Reversion(x / (2 - exp(x))) )^3.
%F A375903 a(n) = 3 * (n+2)! * Sum_{k=0..n} (-1)^k * Stirling2(n,k)/(n-k+3)!.
%o A375903 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((serreverse(x/(2-exp(x)))/x)^3))
%o A375903 (PARI) a(n) = 3*(n+2)!*sum(k=0, n, (-1)^k*stirling(n, k, 2)/(n-k+3)!);
%Y A375903 Cf. A097718, A362354, A375898.
%K A375903 sign
%O A375903 0,2
%A A375903 _Seiichi Manyama_, Sep 02 2024