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 A367376 #10 Nov 15 2023 08:04:14
%S A367376 1,4,32,400,6800,146128,3795728,115616848,4040024720,159282704848,
%T A367376 6993908053520,338443123424080,17894609985867152,1026351961130219728,
%U A367376 63466858180767590672,4209071260503851502160,298006515851074633361552,22434758711582422326267856
%N A367376 Expansion of the e.g.f. (exp(x) / (5 - 4*exp(x)))^(4/5).
%F A367376 a(n) = Sum_{k=0..n} (-1)^(n-k) * (Product_{j=0..k-1} (5*j+4)) * Stirling2(n,k).
%F A367376 a(0) = 1; a(n) = Sum_{k=1..n} (-1)^k * (k/n - 5) * binomial(n,k) * a(n-k).
%F A367376 a(0) = 1; a(n) = 4*a(n-1) + 4*Sum_{k=1..n-1} binomial(n-1,k) * a(n-k).
%o A367376 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*prod(j=0, k-1, 5*j+4)*stirling(n, k, 2));
%Y A367376 Cf. A136729, A201365, A367374, A367375.
%Y A367376 Cf. A365570, A365587, A365603.
%K A367376 nonn
%O A367376 0,2
%A A367376 _Seiichi Manyama_, Nov 15 2023