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 A379995 #14 Jan 08 2025 12:20:43
%S A379995 1,6,48,476,5608,76372,1179016,20332580,387225120,8068825988,
%T A379995 182564048824,4456476380644,116724944900272,3264981100202564,
%U A379995 97130013288324552,3062011655207131748,101963095705628194624,3576126056313566090500,131762871920106615643480
%N A379995 Expansion of e.g.f. exp(-2*x)/(exp(-x) - x)^4.
%F A379995 a(n) = n! * Sum_{k=0..n} (k+2)^(n-k) * binomial(k+3,3)/(n-k)!.
%F A379995 a(n) ~ n! * n^3 / (6 * (LambertW(1) + 1)^4 * LambertW(1)^(n+2)). - _Vaclav Kotesovec_, Jan 08 2025
%o A379995 (PARI) a(n) = n!*sum(k=0, n, (k+2)^(n-k)*binomial(k+3, 3)/(n-k)!);
%Y A379995 Cf. A379943, A379993, A379994, A379996.
%Y A379995 Cf. A358738.
%K A379995 nonn,easy
%O A379995 0,2
%A A379995 _Seiichi Manyama_, Jan 07 2025