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 A369753 #11 Jan 31 2024 08:06:17
%S A369753 1,-5,5,115,-95,-8245,-21275,896275,8801825,-95466725,-2703832475,
%T A369753 -3522650125,717727962625,9961465952875,-118944021914875,
%U A369753 -5634631318806125,-37511809003469375,2020875725751906875,55489065505990733125,-65182838564153418125
%N A369753 Expansion of e.g.f. exp(1 - (1+x)^5).
%F A369753 a(0) = 1; a(n) = -5 * (n-1)! * Sum_{k=1..min(5,n)} binomial(4,k-1) * a(n-k)/(n-k)!.
%F A369753 a(n) = Sum_{k=0..n} 5^k * Stirling1(n,k) * A000587(k).
%o A369753 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(1-(1+x)^5)))
%Y A369753 Column k=5 of A369738.
%Y A369753 Cf. A000587, A202825.
%K A369753 sign
%O A369753 0,2
%A A369753 _Seiichi Manyama_, Jan 30 2024