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A223521 Triangle T(n,k) represents the coefficients of (x^19*d/dx)^n, where n=1,2,3,...

%I A223521 #10 Apr 23 2018 19:10:08
%S A223521 1,19,1,703,57,1,38665,3895,114,1,2822545,326895,12445,190,1,
%T A223521 256851595,32896885,1484280,30305,285,1,27996823855,3875508945,
%U A223521 197651965,4878440,62510,399,1,3555596629585,524061968815,29372612430,831849165,13067250,115178,532,1
%N A223521 Triangle T(n,k) represents the coefficients of (x^19*d/dx)^n, where n=1,2,3,...
%C A223521 Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223521 1;
%e A223521 19,1;
%e A223521 703,57,1;
%e A223521 38665,3895,114,1;
%e A223521 2822545,326895,12445,190,1;
%e A223521 256851595,32896885,1484280,30305,285,1;
%e A223521 27996823855,3875508945,197651965,4878440,62510,399,1;
%e A223521 3555596629585,524061968815,29372612430,831849165,13067250,115178,532,1;
%p A223521 b[0]:=f(x):
%p A223521 for j from 1 to 10 do
%p A223521 b[j]:=simplify(x^19*diff(b[j-1],x$1);
%p A223521 end do;
%Y A223521 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223521 nonn,easy,tabl
%O A223521 1,2
%A A223521 _Udita Katugampola_, Mar 23 2013