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 A373667 #10 Jun 13 2024 08:15:45 %S A373667 1,1,1,16,61,676,5701,60376,798841,9635536,160878601,2367914176, %T A373667 44902245301,807083463616,16799688310861,358223448539776, %U A373667 8158048770370801,199405713714155776,4987832102850957841,135848995301247809536,3737769145322321702701 %N A373667 Expansion of e.g.f. exp(x / (1 - x^2)^(5/2)). %F A373667 a(n) = n! * Sum_{k=0..floor(n/2)} binomial(5*n/2-4*k-1,k)/(n-2*k)!. %F A373667 a(n) == 1 (mod 15). %o A373667 (PARI) a(n) = n!*sum(k=0, n\2, binomial(5*n/2-4*k-1, k)/(n-2*k)!); %Y A373667 Cf. A012150, A088009, A373619, A373620, A373668. %K A373667 nonn %O A373667 0,4 %A A373667 _Seiichi Manyama_, Jun 13 2024