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 A113330 #10 Sep 08 2024 13:51:14
%S A113330 1,5,50,525,5675,62650,703975,8042625,93454750,1106250125,13377432875,
%T A113330 165950540250,2124087269375,28260204825625,394301229688750,
%U A113330 5824314672613125,91872380184761875,1557002324898406250
%N A113330 a(n) = Sum_{k=0..n} 5^k*A111146(n,k).
%F A113330 G.f.: A(x) = 1/(1 - (5/24)*x*Sum_{k>=0} (k+4)!*x^k ).
%e A113330 A(x) = (1 + 5*x + 50*x^2 + 525*x^3 + 5675*x^4 + 62650*x^5 +..)
%e A113330 = 1/(1 - 5/4!*x*(4! + 5!*x + 6!*x^2 + 7!*x^3 + 8!*x^4 +..) ).
%o A113330 (PARI) {a(n)=local(y=5,x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0,n,(y-1+k)!*x^k)),n,X)}
%Y A113330 Cf. A111146, A113326, A113327 (y=2), A113328 (y=3), A113329 (y=4), A113331 (y=6).
%K A113330 nonn
%O A113330 0,2
%A A113330 _Philippe Deléham_ and _Paul D. Hanna_, Oct 26 2005