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A223520 Triangle T(n,k) represents the coefficients of (x^18*d/dx)^n, where n=1,2,3,....

%I A223520 #10 Apr 23 2018 19:01:53
%S A223520 1,18,1,630,54,1,32760,3492,108,1,2260440,277200,11160,180,1,
%T A223520 194397840,26376840,1259280,27180,270,1,20022977520,2937589200,
%U A223520 158601240,4140360,56070,378,1,2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1
%N A223520 Triangle T(n,k) represents the coefficients of (x^18*d/dx)^n, where n=1,2,3,....
%C A223520 Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223520 1;
%e A223520 18,1;
%e A223520 630,54,1;
%e A223520 32760,3492,108,1;
%e A223520 2260440,277200,11160,180,1;
%e A223520 194397840,26376840,1259280,27180,270,1;
%e A223520 20022977520,2937589200,158601240,4140360,56070,378,1;
%e A223520 2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1
%p A223520 b[0]:=f(x):
%p A223520 for j from 1 to 10 do
%p A223520 b[j]:=simplify(x^18*diff(b[j-1],x$1);
%p A223520 end do;
%Y A223520 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223520 nonn,easy,tabl
%O A223520 1,2
%A A223520 _Udita Katugampola_, Mar 23 2013