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 A377833 #8 Nov 09 2024 08:13:47
%S A377833 1,4,51,1174,39833,1799136,101821723,6938396368,553482404721,
%T A377833 50619262481920,5223014483031491,600332651141435136,
%U A377833 76075005337204547209,10538051760153093320704,1584264031801742560408875,256912816791069951740348416,44703731640012047610981808097
%N A377833 Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x)^3 * exp(-x) ).
%H A377833 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A377833 E.g.f. A(x) satisfies A(x) = exp(x * A(x))/(1 - x*A(x))^3.
%F A377833 a(n) = n! * Sum_{k=0..n} (n+1)^(k-1) * binomial(4*n-k+2,n-k)/k!.
%o A377833 (PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(4*n-k+2, n-k)/k!);
%Y A377833 Cf. A377831, A377832.
%Y A377833 Cf. A377743, A377811.
%K A377833 nonn
%O A377833 0,2
%A A377833 _Seiichi Manyama_, Nov 09 2024