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.
%I A380972 #9 Feb 10 2025 04:42:44
%S A380972 1,1,7,76,1237,26816,728899,23866816,915129961,40237778944,
%T A380972 1996402790431,110351882157056,6725593733125117,448106469169905664,
%U A380972 32404532970216803803,2527793703574203252736,211589448225820679029969,18917558526854862344290304,1799285901282568752019291063
%N A380972 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x*exp(2*x)) ).
%H A380972 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A380972 E.g.f. A(x) satisfies A(x) = exp( x*A(x) * exp(2*x*A(x)) ).
%F A380972 a(n) = Sum_{k=0..n} (2*k)^(n-k) * (n+1)^(k-1) * binomial(n,k).
%o A380972 (PARI) a(n) = sum(k=0, n, (2*k)^(n-k)*(n+1)^(k-1)*binomial(n, k));
%Y A380972 Cf. A162695, A380973.
%Y A380972 Cf. A380879.
%K A380972 nonn
%O A380972 0,3
%A A380972 _Seiichi Manyama_, Feb 10 2025