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A223514 Triangle T(n,k) represents the coefficients of (x^12*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223514 #5 Mar 23 2013 14:53:40
%S A223514 1,12,1,276,36,1,9384,1536,72,1,422280,80040,4920,120,1,23647680,
%T A223514 4984560,365400,12000,180,1,1584394560,362597760,30197160,1205400,
%U A223514 24780,252,1,123582775680,30229617600,2778370560,127834560,3237360,45696,336,1,1099867035520
%N A223514 Triangle T(n,k) represents the coefficients of (x^12*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223514 1;
%e A223514 12,1;
%e A223514 276,36,1;
%e A223514 9384,1536,72,1;
%e A223514 422280,80040,4920,120,1;
%e A223514 23647680,4984560,365400,12000,180,1;
%e A223514 1584394560,362597760,30197160,1205400,24780,252,1;
%e A223514 123582775680,30229617600,2778370560,127834560,3237360,45696,336,1;
%e A223514 1099867035520,...
%p A223514 b[0]:=f(x):
%p A223514 for j from 1 to 10 do
%p A223514 b[j]:=simplify(x^12*diff(b[j-1],x$1);
%p A223514 end do;
%Y A223514 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223514 nonn,easy,tabl
%O A223514 1,2
%A A223514 _Udita Katugampola_, Mar 23 2013