|
|
A223520
|
|
Triangle T(n,k) represents the coefficients of (x^18*d/dx)^n, where n=1,2,3,....
|
|
0
|
|
|
1, 18, 1, 630, 54, 1, 32760, 3492, 108, 1, 2260440, 277200, 11160, 180, 1, 194397840, 26376840, 1259280, 27180, 270, 1, 20022977520, 2937589200, 158601240, 4140360, 56070, 378, 1, 2402757302400, 375471270720, 22286940480, 667865520, 11093040, 103320, 504, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
|
|
LINKS
|
|
|
EXAMPLE
|
1;
18,1;
630,54,1;
32760,3492,108,1;
2260440,277200,11160,180,1;
194397840,26376840,1259280,27180,270,1;
20022977520,2937589200,158601240,4140360,56070,378,1;
2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1
|
|
MAPLE
|
b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^18*diff(b[j-1], x$1);
end do;
|
|
CROSSREFS
|
Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|