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A223516 Triangle T(n,k) represents the coefficients of (x^14*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223516 #5 Mar 23 2013 14:56:15
%S A223516 1,14,1,378,42,1,15120,2100,84,1,801360,128520,6720,140,1,52889760,
%T A223516 9412200,585480,16380,210,1,4178291040,805865760,56836080,1928640,
%U A223516 33810,294,1,384402775680,79123806720,6148457280,240056880,5174400,62328,392,1
%N A223516 Triangle T(n,k) represents the coefficients of (x^14*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223516 1;
%e A223516 14,1;
%e A223516 378,42,1;
%e A223516 15120,2100,84,1;
%e A223516 801360,128520,6720,140,1;
%e A223516 52889760,9412200,585480,16380,210,1;
%e A223516 4178291040,805865760,56836080,1928640,33810,294,1;
%e A223516 384402775680,79123806720,6148457280,240056880,5174400,62328,392,1;
%p A223516 b[0]:=f(x):
%p A223516 for j from 1 to 10 do
%p A223516 b[j]:=simplify(x^14*diff(b[j-1],x$1);
%p A223516 end do;
%Y A223516 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223516 nonn,easy,tabl
%O A223516 1,2
%A A223516 _Udita Katugampola_, Mar 23 2013