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 A380022 #5 Jan 09 2025 08:00:10 %S A380022 1,2,10,103,1608,33201,850108,25961489,920672000,37177954705, %T A380022 1684020384036,84552655333785,4660526554922032,279769833061460249, %U A380022 18167873577214204964,1268970734106516345721,94861592588266224161664,7556876103775629510620193,639078655735155260051464132 %N A380022 Expansion of e.g.f. 1/(exp(-4*x) - 4*x*exp(-3*x))^(1/4). %F A380022 a(n) = n! * Sum_{k=0..n} (-4)^k * (k+1)^(n-k) * binomial(-1/4,k)/(n-k)!. %o A380022 (PARI) a(n) = n!*sum(k=0, n, (-4)^k*(k+1)^(n-k)*binomial(-1/4, k)/(n-k)!); %Y A380022 Cf. A380018, A380019. %K A380022 nonn %O A380022 0,2 %A A380022 _Seiichi Manyama_, Jan 09 2025