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 A380019 #7 Jan 09 2025 07:59:55
%S A380019 1,1,7,78,1249,26100,673101,20655082,735030913,29759100264,
%T A380019 1350726180085,67929497104326,3749296817347137,225321905599163308,
%U A380019 14646040616615433949,1023818460912628352490,76589660469522857865601,6105092923000191785913552,516586509938516858800548453
%N A380019 Expansion of e.g.f. 1/(1 - 4*x*exp(x))^(1/4).
%F A380019 a(n) = n! * Sum_{k=0..n} (-4)^k * k^(n-k) * binomial(-1/4,k)/(n-k)!.
%o A380019 (PARI) a(n) = n!*sum(k=0, n, (-4)^k*k^(n-k)*binomial(-1/4, k)/(n-k)!);
%Y A380019 Cf. A006153, A380015, A380017.
%K A380019 nonn
%O A380019 0,3
%A A380019 _Seiichi Manyama_, Jan 09 2025