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 A377527 #9 Oct 31 2024 06:48:06 %S A377527 1,2,26,618,22256,1081770,66401532,4931389358,430108545680, %T A377527 43104305664594,4881518010253460,616559703960596022, %U A377527 85935621525038617752,13102417265843584412474,2169337115977056447577820,387609934848899388554651550,74340899731294447790784890912 %N A377527 E.g.f. satisfies A(x) = 1/(1 - x * exp(x) * A(x)^2)^2. %F A377527 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377526. %F A377527 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(5*k+1,k)/( (2*k+1)*(n-k)! ). %o A377527 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(5*k+1, k)/((2*k+1)*(n-k)!)); %Y A377527 Cf. A377526, A377528. %Y A377527 Cf. A377503, A377529. %K A377527 nonn %O A377527 0,2 %A A377527 _Seiichi Manyama_, Oct 30 2024