cp's OEIS Frontend

A223512 Triangle T(n,k) represents the coefficients of (x^10*d/dx)^n, where n=1,2,3,...;generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223512 #7 Mar 23 2013 14:28:46
%S A223512 1,10,1,190,30,1,5320,1060,60,1,196840,45600,3400,100,1,9054640,
%T A223512 2340040,208800,8300,150,1,498005200,140096880,14241640,690200,17150,
%U A223512 210,1,31872332800,9604302400,1080045120,60485040,1856400,31640,280,1,2326680294400
%N A223512 Triangle T(n,k) represents the coefficients of (x^10*d/dx)^n, where n=1,2,3,...;generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223512 1;
%e A223512 10,1;
%e A223512 190,30,1;
%e A223512 5320,1060,60,1;
%e A223512 196840,45600,3400,100,1;
%e A223512 9054640,2340040,208800,8300,150,1;
%e A223512 498005200,140096880,14241640,690200,17150,210,1;
%e A223512 31872332800,9604302400,1080045120,60485040,1856400,31640,280,1,2326680294400
%p A223512 b[0]:=g(x):
%p A223512 for j from 1 to 10 do
%p A223512 b[j]:=simplify(x^10*diff(b[j-1],x$1);
%p A223512 end do;
%Y A223512 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223512 nonn,easy,tabl
%O A223512 1,2
%A A223512 _Udita Katugampola_, Mar 23 2013