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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.

A377549 E.g.f. satisfies A(x) = 1 + x*A(x)^5*exp(x*A(x)^2).

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%I A377549 #7 Nov 01 2024 09:30:24
%S A377549 1,1,12,285,10444,520465,32882406,2519264797,227003238792,
%T A377549 23526134771553,2757165645132010,360564513170510341,
%U A377549 52053350012338720332,8222888925567102799441,1410913077291231960911934,261306906300110395598900685,51955790654759866661097707536
%N A377549 E.g.f. satisfies A(x) = 1 + x*A(x)^5*exp(x*A(x)^2).
%F A377549 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(2*n+3*k+1,k)/( (2*n+3*k+1)*(n-k)! ).
%o A377549 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(2*n+3*k+1, k)/((2*n+3*k+1)*(n-k)!));
%Y A377549 Cf. A364980, A364982, A364985, A365176.
%Y A377549 Cf. A377547.
%K A377549 nonn
%O A377549 0,3
%A A377549 _Seiichi Manyama_, Oct 31 2024