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 A320082 #15 Jun 13 2020 00:48:33
%S A320082 1,1,3,5,-60,-186,13832,-98862,-8631360,352796880,4245955032,
%T A320082 -1185349047048,48595690153920,3201334718188320,-607575977909763840,
%U A320082 26489851912606455504,4482546578798646251520,-958939334596403708474880,50300999315063602037775360,14223928928980522264922223360,-3933112779003946549567400925696
%N A320082 Expansion of e.g.f. Sum_{k>=0} log(1 + k*x)^k/k!.
%H A320082 Seiichi Manyama, <a href="/A320082/b320082.txt">Table of n, a(n) for n = 0..200</a>
%F A320082 a(n) = Sum_{k=0..n} Stirling1(n,k)*k^n.
%p A320082 1,seq(n!*coeff(series(add(log(1+k*x)^k/k!, k=1..100), x=0, 21), x, n), n=1..20); # _Paolo P. Lava_, Jan 09 2019
%t A320082 nmax = 20; CoefficientList[Series[1 + Sum[Log[1 + k x]^k/k!, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
%t A320082 Join[{1}, Table[Sum[StirlingS1[n, k] k^n, {k, n}], {n, 20}]]
%o A320082 (PARI) a(n) = sum(k=0, n, stirling(n,k)*k^n); \\ _Altug Alkan_, Oct 05 2018
%Y A320082 Cf. A048994, A108459, A128943, A232549.
%K A320082 sign
%O A320082 0,3
%A A320082 _Ilya Gutkovskiy_, Oct 05 2018