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 A379862 #11 Jan 05 2025 09:58:45
%S A379862 1,3,29,502,12761,430986,18217813,926514058,55133781809,3760088111938,
%T A379862 289240874117981,24780044801646762,2340229465310736073,
%U A379862 241563626661550193794,27059024800372108029221,3269263894468329061597546,423798837014001794141132897,58674726188995774863597090690
%N A379862 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x)/(1 + x*exp(x))^2 ).
%H A379862 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A379862 E.g.f. A(x) satisfies A(x) = exp(x*A) * (1 + x * A(x) * exp(x*A(x)))^2.
%F A379862 a(n) = (n!/(n+1)) * Sum_{k=0..n} (n+k+1)^(n-k) * binomial(2*n+2,k)/(n-k)!.
%o A379862 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(n-k)*binomial(2*n+2, k)/(n-k)!)/(n+1);
%Y A379862 Cf. A377553, A379861.
%Y A379862 Cf. A379456.
%K A379862 nonn
%O A379862 0,2
%A A379862 _Seiichi Manyama_, Jan 04 2025