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

1, 19, 1, 703, 57, 1, 38665, 3895, 114, 1, 2822545, 326895, 12445, 190, 1, 256851595, 32896885, 1484280, 30305, 285, 1, 27996823855, 3875508945, 197651965, 4878440, 62510, 399, 1, 3555596629585, 524061968815, 29372612430, 831849165, 13067250, 115178, 532, 1

Offset: 1

Author

Udita Katugampola, Mar 23 2013

Keywords

• nonn
• easy
• tabl

Comments

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

Examples

			1;
19,1;
703,57,1;
38665,3895,114,1;
2822545,326895,12445,190,1;
256851595,32896885,1484280,30305,285,1;
27996823855,3875508945,197651965,4878440,62510,399,1;
3555596629585,524061968815,29372612430,831849165,13067250,115178,532,1;
		

Crossrefs

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

Programs

Maple

b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^19*diff(b[j-1],x$1);
end do;