A223512 - OEIS

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 #7 Mar 23 2013 14:28:46

%S 1,10,1,190,30,1,5320,1060,60,1,196840,45600,3400,100,1,9054640,

%T 2340040,208800,8300,150,1,498005200,140096880,14241640,690200,17150,

%U 210,1,31872332800,9604302400,1080045120,60485040,1856400,31640,280,1,2326680294400

%N 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 1;

%e 10,1;

%e 190,30,1;

%e 5320,1060,60,1;

%e 196840,45600,3400,100,1;

%e 9054640,2340040,208800,8300,150,1;

%e 498005200,140096880,14241640,690200,17150,210,1;

%e 31872332800,9604302400,1080045120,60485040,1856400,31640,280,1,2326680294400

%p b[0]:=g(x):

%p for j from 1 to 10 do

%p b[j]:=simplify(x^10*diff(b[j-1],x$1);

%p end do;

%Y Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.

%K nonn,easy,tabl

%O 1,2

%A _Udita Katugampola_, Mar 23 2013