A223517 Triangle T(n,k) represents the coefficients of (x^15*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

1, 15, 1, 435, 45, 1, 18705, 2415, 90, 1, 1066185, 158775, 7725, 150, 1, 75699135, 12497985, 722700, 18825, 225, 1, 6434426475, 1150525845, 75372885, 2379300, 38850, 315, 1, 637008221025, 121487010975, 8763187230, 318061485, 6380850, 71610, 420, 1

Offset

1,2

Links

Table of n, a(n) for n=1..36.

Example

1;
15,1;
435,45,1;
18705,2415,90,1;
1066185,158775,7725,150,1;
75699135,12497985,722700,18825,225,1;
6434426475,1150525845,75372885,2379300,38850,315,1;
637008221025,121487010975,8763187230,318061485,6380850,71610,420,1;

Maple

b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^15*diff(b[j-1], x$1);
end do;

Crossrefs

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

Sequence in context: A027467 A049375 A049224 * A027448 A027518 A027539

Adjacent sequences: A223514 A223515 A223516 * A223518 A223519 A223520

Keyword

nonn,easy,tabl

Author

Udita Katugampola, Mar 23 2013

Status

approved