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A223518 Triangle T(n,k) represents the coefficients of (x^16*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223518 #5 Mar 23 2013 14:58:40
%S A223518 1,16,1,496,48,1,22816,2752,96,1,1391776,193440,8800,160,1,105774976,
%T A223518 16286656,879840,21440,240,1,9625522816,1604147328,98111776,2895200,
%U A223518 44240,336,1,1020305418496,181269286912,12200219136,413688576,7761600,81536,448,1
%N A223518 Triangle T(n,k) represents the coefficients of (x^16*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223518 1;
%e A223518 16,1;
%e A223518 496,48,1;
%e A223518 22816,2752,96,1;
%e A223518 1391776,193440,8800,160,1;
%e A223518 105774976,16286656,879840,21440,240,1;
%e A223518 9625522816,1604147328,98111776,2895200,44240,336,1;
%e A223518 1020305418496,181269286912,12200219136,413688576,7761600,81536,448,1
%p A223518 b[0]:=f(x):
%p A223518 for j from 1 to 10 do
%p A223518 b[j]:=simplify(x^16*diff(b[j-1],x$1);
%p A223518 end do;
%Y A223518 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223518 nonn,easy,tabl
%O A223518 1,2
%A A223518 _Udita Katugampola_, Mar 23 2013