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.

A375902 E.g.f. satisfies A(x) = (2 - exp(x * A(x)^(1/2)))^2.

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%I A375902 #12 Sep 02 2024 08:38:25
%S A375902 1,-2,4,-2,-52,358,12,-25986,247228,821398,-52933300,534428926,
%T A375902 6201248220,-271179578490,2375560802188,75726973445374,
%U A375902 -2740636867741828,14280527041851958,1501820173046702796,-46939564687781824002,-67963035486950641508
%N A375902 E.g.f. satisfies A(x) = (2 - exp(x * A(x)^(1/2)))^2.
%F A375902 E.g.f.: A(x) = ( (1/x) * Series_Reversion(x / (2 - exp(x))) )^2.
%F A375902 a(n) = 2 * (n+1)! * Sum_{k=0..n} (-1)^k * Stirling2(n,k)/(n-k+2)!.
%o A375902 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((serreverse(x/(2-exp(x)))/x)^2))
%o A375902 (PARI) a(n) = 2*(n+1)!*sum(k=0, n, (-1)^k*stirling(n, k, 2)/(n-k+2)!);
%Y A375902 Cf. A007334, A097718, A375897.
%K A375902 sign
%O A375902 0,2
%A A375902 _Seiichi Manyama_, Sep 02 2024