login
A223518
Triangle T(n,k) represents the coefficients of (x^16*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
0
1, 16, 1, 496, 48, 1, 22816, 2752, 96, 1, 1391776, 193440, 8800, 160, 1, 105774976, 16286656, 879840, 21440, 240, 1, 9625522816, 1604147328, 98111776, 2895200, 44240, 336, 1, 1020305418496, 181269286912, 12200219136, 413688576, 7761600, 81536, 448, 1
OFFSET
1,2
EXAMPLE
1;
16,1;
496,48,1;
22816,2752,96,1;
1391776,193440,8800,160,1;
105774976,16286656,879840,21440,240,1;
9625522816,1604147328,98111776,2895200,44240,336,1;
1020305418496,181269286912,12200219136,413688576,7761600,81536,448,1
MAPLE
b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^16*diff(b[j-1], x$1);
end do;
KEYWORD
nonn,easy,tabl
AUTHOR
Udita Katugampola, Mar 23 2013
STATUS
approved