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 A089278 #8 Aug 28 2019 16:49:27 %S A089278 1,-1,3,1,-15,24,-7,405,-2268,2500,2,-405,6048,-20000,16875,-11,7425, %T A089278 -266112,2000000,-4640625,3176523,143,-312741,25474176,-390000000, %U A089278 1879453125,-3344878719,1927561216,-143,995085,-178319232,5250000000,-46986328125,163899057231,-236126248960 %N A089278 Coefficient triangle for computation of column numbers of triangle A071951 (Legendre-Stirling). %C A089278 The k-th column sequence A071951(n+k,k), n>=0, is sum(a(k,p)*(p*(p+1))^n,p=1..k)/A089500(k), k>=1. %H A089278 W. Lang, <a href="/A089278/a089278.txt">First 7 rows</a>. %F A089278 a(n, m)= A089500(n)*(((-1)^(m+n))*(2*m+1)*((m*(m+1))^n)/((m+n+1)!*(n-m)!)). %e A089278 [1]; [ -1,3]; [1,-15,24]; [ -7,405,-2268,2500]; ... %e A089278 Sequence A071951(n+3,3)= A016309(n)= [1,20,292,...] has a(n)= %e A089278 (1*(1*2)^n - 15*(2*3)^n + 24*(3*4)^n)/10. %K A089278 sign,tabl %O A089278 1,3 %A A089278 _Wolfdieter Lang_, Nov 07 2003