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.

A380879 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-2*x*exp(x)) ).

This page as a plain text file.
%I A380879 #10 Feb 07 2025 05:36:43
%S A380879 1,2,16,230,4888,138442,4916140,210270734,10530743632,604747157138,
%T A380879 39185881490644,2828691317839510,225137088955561144,
%U A380879 19588316964130880474,1849745928662841982588,188421660506420000503838,20594905554562935801454240,2404374864844251715105658146
%N A380879 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-2*x*exp(x)) ).
%H A380879 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A380879 E.g.f. A(x) satisfies A(x) = exp(2 * x * A(x) * exp(x * A(x))).
%F A380879 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A360474.
%F A380879 a(n) = 2 * Sum_{k=0..n} k^(n-k) * (2*n+2)^(k-1) * binomial(n,k).
%o A380879 (PARI) a(n) = 2*sum(k=0, n, k^(n-k)*(2*n+2)^(k-1)*binomial(n, k));
%Y A380879 Cf. A162695, A380880.
%Y A380879 Cf. A360474.
%K A380879 nonn
%O A380879 0,2
%A A380879 _Seiichi Manyama_, Feb 07 2025