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 A380018 #7 Jan 09 2025 08:00:30 %S A380018 1,2,16,256,5856,175296,6486016,285756416,14606007296,849615763456, %T A380018 55415153442816,4005309938466816,317750919017168896, %U A380018 27449350209163821056,2564871898004949303296,257753802183061443444736,27720748513211258671988736,3176821722223524679312736256 %N A380018 Expansion of e.g.f. 1/(exp(-4*x) - 4*x)^(1/4). %F A380018 a(n) = n! * Sum_{k=0..n} (-4)^k * (4*k+1)^(n-k) * binomial(-1/4,k)/(n-k)!. %o A380018 (PARI) a(n) = n!*sum(k=0, n, (-4)^k*(4*k+1)^(n-k)*binomial(-1/4, k)/(n-k)!); %Y A380018 Cf. A072597, A380014, A380016. %K A380018 nonn %O A380018 0,2 %A A380018 _Seiichi Manyama_, Jan 09 2025