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 A373541 #13 Jun 10 2024 10:02:08 %S A373541 1,1,1,1,1,-119,-719,-2519,-6719,347761,5412961,39861361,199488961, %T A373541 -5448797639,-171814122479,-2172192782759,-17416977701759, %U A373541 251989368889441,15508068901698241,302085533813309281,3540741711640110721,-21311122660066333079 %N A373541 Expansion of e.g.f. exp(x/(1 + x^4)). %F A373541 a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k-1,k)/(n-4*k)!. %F A373541 a(n) == 1 mod 120. %o A373541 (PARI) a(n) = n!*sum(k=0, n\4, (-1)^k*binomial(n-3*k-1, k)/(n-4*k)!); %Y A373541 Cf. A293507. %K A373541 sign %O A373541 0,6 %A A373541 _Seiichi Manyama_, Jun 09 2024