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 A081049 #8 Nov 23 2020 17:07:00
%S A081049 1,0,5,-5,74,-154,2484,-8028,149904,-663696,14257440,-80627040,
%T A081049 1965444480,-13575738240,370643938560,-3031488633600,91657072281600,
%U A081049 -867718162483200,28779361764249600,-309920046408806400,11185850044938240000,-135153868608460800000
%N A081049 Generalized Stirling numbers of the first kind.
%H A081049 Robert Israel, <a href="/A081049/b081049.txt">Table of n, a(n) for n = 0..449</a>
%F A081049 a(n) = n!*(1 + Sum {k=1..n, (-1)^n*1/k}).
%F A081049 E.g.f.: 1/(1-x) - log(1+x)/(1+x). - _Robert Israel_, Nov 23 2020
%p A081049 E:= 1/(1-x) - ln(1+x)/(1+x):
%p A081049 S:= series(E,x,51):
%p A081049 seq(coeff(S,x,n)*n!, n=0..50); # _Robert Israel_, Nov 23 2020
%Y A081049 Cf. A000774, A081050, A008275.
%K A081049 easy,sign
%O A081049 0,3
%A A081049 _Paul Barry_, Mar 05 2003