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A223515 Triangle T(n,k) represents the coefficients of (x^13*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223515 #5 Mar 23 2013 14:55:06
%S A223515 1,13,1,325,39,1,12025,1807,78,1,589225,102375,5785,130,1,35942725,
%T A223515 6936475,466830,14105,195,1,2623818925,549241875,41948725,1538810,
%U A223515 29120,273,1,223024608625,49858620175,4198780950,177364005,4130490,53690,364,1,21633387036625
%N A223515 Triangle T(n,k) represents the coefficients of (x^13*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223515 1;
%e A223515 13,1;
%e A223515 325,39,1;
%e A223515 12025,1807,78,1;
%e A223515 589225,102375,5785,130,1;
%e A223515 35942725,6936475,466830,14105,195,1
%e A223515 2623818925,549241875,41948725,1538810,29120,273,1;
%e A223515 223024608625,49858620175,4198780950,177364005,4130490,53690,364,1;
%e A223515 21633387036625,...
%p A223515 b[0]:=f(x):
%p A223515 for j from 1 to 10 do
%p A223515 b[j]:=simplify(x^13*diff(b[j-1],x$1);
%p A223515 end do;
%Y A223515 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223515 nonn,easy,tabl
%O A223515 1,2
%A A223515 _Udita Katugampola_, Mar 23 2013