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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.

A377579 E.g.f. satisfies A(x) = (1 + x * exp(x*A(x)))^4.

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%I A377579 #9 Nov 02 2024 09:13:15
%S A377579 1,4,20,204,3112,61220,1523064,45456292,1586426720,63461164932,
%T A377579 2862300600040,143766016251044,7959047336014416,481550056915454020,
%U A377579 31615435540393172888,2238661916541220434660,170070509857455107126464,13798559748847266924993284,1190848786811966457102586824
%N A377579 E.g.f. satisfies A(x) = (1 + x * exp(x*A(x)))^4.
%F A377579 E.g.f.: B(x)^4, where B(x) is the e.g.f. of A377581.
%F A377579 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(4*n-4*k+4,k)/( (n-k+1)*(n-k)! ).
%o A377579 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*n-4*k+4, k)/((n-k+1)*(n-k)!));
%Y A377579 Cf. A161632, A377578.
%Y A377579 Cf. A377580, A377581.
%K A377579 nonn
%O A377579 0,2
%A A377579 _Seiichi Manyama_, Nov 02 2024