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 A380973 #10 Feb 10 2025 04:42:30
%S A380973 1,1,9,115,2213,56781,1825735,70718383,3207565737,166830072409,
%T A380973 9791107408331,640182529765395,46152280917472669,3637314366894167077,
%U A380973 311129703773921407887,28708644100373375591191,2842495895373573092038865,300611288206029730901431473,33820062046972635799385887123
%N A380973 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x*exp(3*x)) ).
%H A380973 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A380973 E.g.f. A(x) satisfies A(x) = exp( x*A(x) * exp(3*x*A(x)) ).
%F A380973 a(n) = Sum_{k=0..n} (3*k)^(n-k) * (n+1)^(k-1) * binomial(n,k).
%o A380973 (PARI) a(n) = sum(k=0, n, (3*k)^(n-k)*(n+1)^(k-1)*binomial(n, k));
%Y A380973 Cf. A162695, A380972.
%Y A380973 Cf. A380880.
%K A380973 nonn
%O A380973 0,3
%A A380973 _Seiichi Manyama_, Feb 10 2025