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 A377576 #10 Nov 02 2024 09:11:46 %S A377576 1,4,52,1116,34408,1394340,70298424,4248802516,299752943200, %T A377576 24196951718532,2200519882434280,222683725755611604, %U A377576 24824104612186789584,3023063956714780554628,399343825987950226379416,56879649386095684434783060,8689968793295620150120679104 %N A377576 E.g.f. satisfies A(x) = (1 + x * exp(x) * A(x))^4. %F A377576 E.g.f.: B(x)^4, where B(x) is the e.g.f. of A364987. %F A377576 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(4*k+4,k)/( (k+1)*(n-k)! ). %o A377576 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*k+4, k)/((k+1)*(n-k)!)); %Y A377576 Cf. A006153, A377574, A377575. %Y A377576 Cf. A364987, A377577. %K A377576 nonn %O A377576 0,2 %A A377576 _Seiichi Manyama_, Nov 02 2024