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 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