A223520 - OEIS

%I #10 Apr 23 2018 19:01:53

%S 1,18,1,630,54,1,32760,3492,108,1,2260440,277200,11160,180,1,

%T 194397840,26376840,1259280,27180,270,1,20022977520,2937589200,

%U 158601240,4140360,56070,378,1,2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1

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

%C Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%e 1;

%e 18,1;

%e 630,54,1;

%e 32760,3492,108,1;

%e 2260440,277200,11160,180,1;

%e 194397840,26376840,1259280,27180,270,1;

%e 20022977520,2937589200,158601240,4140360,56070,378,1;

%e 2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1

%p b[0]:=f(x):

%p for j from 1 to 10 do

%p b[j]:=simplify(x^18*diff(b[j-1],x$1);

%p end do;

%Y Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.

%K nonn,easy,tabl

%O 1,2

%A _Udita Katugampola_, Mar 23 2013