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 A377578 #8 Nov 02 2024 09:13:05
%S A377578 1,3,12,105,1308,21375,441018,10896123,315264792,10449447579,
%T A377578 390569672910,16257117737223,745842771924660,37396841181068343,
%U A377578 2034701509480503906,119398947940954110915,7517149983020119420848,505442237612562154098099,36150074712773275030075926
%N A377578 E.g.f. satisfies A(x) = (1 + x * exp(x*A(x)))^3.
%F A377578 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A364979.
%F A377578 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(3*n-3*k+3,k)/( (n-k+1)*(n-k)! ).
%o A377578 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(3*n-3*k+3, k)/((n-k+1)*(n-k)!));
%Y A377578 Cf. A161632, A377579.
%Y A377578 Cf. A364979.
%K A377578 nonn
%O A377578 0,2
%A A377578 _Seiichi Manyama_, Nov 02 2024