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 A382034 #16 Mar 14 2025 09:00:21
%S A382034 1,1,9,181,5713,246881,13570081,906180997,71250724833,6448375469665,
%T A382034 660286026034561,75472025139452261,9525947428687403473,
%U A382034 1315935073971181422721,197485196722573989608289,31993978774204625549549221,5565216938342017912128576961,1034506012356981473110554574145
%N A382034 E.g.f. A(x) satisfies A(x) = exp(x*B(x*A(x))^4), where B(x) = 1 + x*B(x)^4 is the g.f. of A002293.
%F A382034 a(n) = (n-1)! * Sum_{k=0..n-1} (k+1)^(n-k-1) * binomial(4*n,k)/(n-k-1)! for n > 0.
%F A382034 Let F(x) be the e.g.f. of A377630. F(x) = log(A(x))/x = B(x*A(x))^4.
%F A382034 E.g.f.: A(x) = exp( Series_Reversion( x/(1 + x*exp(x))^4 ) ).
%o A382034 (PARI) a(n) = if(n==0, 1, (n-1)!*sum(k=0, n-1, (k+1)^(n-k-1)*binomial(4*n, k)/(n-k-1)!));
%Y A382034 Cf. A161630, A382032, A382033.
%Y A382034 Cf. A002293, A377630.
%K A382034 nonn
%O A382034 0,3
%A A382034 _Seiichi Manyama_, Mar 12 2025