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.

A380881 E.g.f. A(x) satisfies A(x) = exp( x * A(x)^3 * exp(x * A(x)^3) ).

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%I A380881 #11 Feb 07 2025 05:36:28
%S A380881 1,1,9,163,4541,171781,8231395,478055299,32642065433,2562896897353,
%T A380881 227510655792191,22533214047347455,2463465770439307045,
%U A380881 294676777871863052173,38284087227668033391515,5368383942726216941810971,808133883137288259018215345,129988823008132636178027546257
%N A380881 E.g.f. A(x) satisfies A(x) = exp( x * A(x)^3 * exp(x * A(x)^3) ).
%H A380881 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A380881 E.g.f.: ( (1/x) * Series_Reversion( x * exp(-3*x*exp(x)) ) )^(1/3).
%F A380881 a(n) = Sum_{k=0..n} k^(n-k) * (3*n+1)^(k-1) * binomial(n,k).
%o A380881 (PARI) a(n) = sum(k=0, n, k^(n-k)*(3*n+1)^(k-1)*binomial(n, k));
%Y A380881 Cf. A162695, A360474.
%Y A380881 Cf. A362656, A380880.
%K A380881 nonn
%O A380881 0,3
%A A380881 _Seiichi Manyama_, Feb 07 2025