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 A081051 #9 Mar 03 2022 06:10:59
%S A081051 0,0,1,-6,35,-225,1624,-13132,118124,-1172700,12753576,-150917976,
%T A081051 1931559552,-26596717056,392156797824,-6165817614720,102992244837120,
%U A081051 -1821602444624640,34012249593822720,-668609730341153280,13803759753640704000,-298631902863216384000
%N A081051 Stirling numbers of the first kind.
%C A081051 Coefficient of x^3 in Product {k=0..(n-1), x-k}.
%F A081051 E.g.f. (1+x)^(-1)*log(1+x)^2/2
%F A081051 a(n) = (-1)^n*det(S(i+3,j+2), 1 <= i,j <= n-2), where S(n,k) are Stirling numbers of the second kind and n>1. [_Mircea Merca_, Apr 06 2013]
%F A081051 a(n) ~ n! * (-1)^n * log(n)^2/2 * (1 + 2*gamma/log(n)), where gamma is the Euler-Mascheroni constant A001620. - _Vaclav Kotesovec_, Mar 03 2022
%t A081051 Table[StirlingS1[n, 3], {n, 1, 20}] (* _Vaclav Kotesovec_, Mar 03 2022 *)
%Y A081051 Cf. A000399, A008275, A081048.
%K A081051 easy,sign
%O A081051 0,4
%A A081051 _Paul Barry_, Mar 05 2003