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 A380673 #9 Jan 30 2025 11:23:45
%S A380673 1,2,11,106,1501,28416,677839,19566128,663801849,25897000960,
%T A380673 1142424023731,56232973813248,3055417111781269,181644488496644096,
%U A380673 11728204122824976375,817281148114199197696,61136484485752079320561,4886365932210442324672512,415573028022035962921316059
%N A380673 Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x) * exp(-x * (1 - x)) ).
%H A380673 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A380673 E.g.f. A(x) satisfies A(x) = exp(x * A(x) * (1 - x*A(x)))/(1 - x*A(x)).
%F A380673 a(n) = n! * Sum_{k=0..n} (n+1)^(k-1) * binomial(2*n-2*k,n-k)/k!.
%F A380673 a(n) = A277184(n+1)/(n+1).
%o A380673 (PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(2*n-2*k, n-k)/k!);
%Y A380673 Cf. A377831, A380663, A380664.
%Y A380673 Cf. A277184.
%K A380673 nonn
%O A380673 0,2
%A A380673 _Seiichi Manyama_, Jan 30 2025