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A223522 Triangle T(n,k) represents the coefficients of (x^20*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%I A223522 #5 Mar 23 2013 15:02:52
%S A223522 1,20,1,780,60,1,45240,4320,120,1,3483480,382200,13800,200,1,
%T A223522 334414080,40556880,1734600,33600,300,1,38457619200,5039012160,
%U A223522 243505080,5699400,69300,420,1
%N A223522 Triangle T(n,k) represents the coefficients of (x^20*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223522 1;
%e A223522 20,1;
%e A223522 780,60,1;
%e A223522 45240,4320,120,1;
%e A223522 3483480,382200,13800,200,1;
%e A223522 334414080,40556880,1734600,33600,300,1;
%e A223522 38457619200,5039012160,243505080,5699400,69300,420,1;
%e A223522 5153320972800,718724260800,38155703040,1024322880,15262800,127680,560,1;
%p A223522 b[0]:=f(x):
%p A223522 for j from 1 to 10 do
%p A223522 b[j]:=simplify(x^20*diff(b[j-1],x$1);
%p A223522 end do;
%Y A223522 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223522 nonn,easy,tabl
%O A223522 1,2
%A A223522 _Udita Katugampola_, Mar 23 2013