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 A377552 #9 Nov 01 2024 09:30:10 %S A377552 1,2,10,114,2000,47050,1399452,50386406,2130643216,103530094866, %T A377552 5684985037460,348165567064942,23530146364469208,1739586913373486138, %U A377552 139658209205202262876,12099843726478251739830,1125274333255817053205792,111809642081518362872011042,11821367007844973309548419876 %N A377552 E.g.f. satisfies A(x) = 1/(1 - x * exp(x*A(x)^2))^2. %F A377552 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377550. %F A377552 a(n) = 2 * n! * Sum_{k=0..n} k^(n-k) * binomial(4*n-3*k+2,k)/( (4*n-3*k+2)*(n-k)! ). %o A377552 (PARI) a(n) = 2*n!*sum(k=0, n, k^(n-k)*binomial(4*n-3*k+2, k)/((4*n-3*k+2)*(n-k)!)); %Y A377552 Cf. A377550, A377551. %K A377552 nonn %O A377552 0,2 %A A377552 _Seiichi Manyama_, Oct 31 2024