A223519 Triangle T(n,k) represents the coefficients of (x^17*d/dx)^n, where n=1,2,3,...

1, 17, 1, 561, 51, 1, 27489, 3111, 102, 1, 1786785, 232815, 9945, 170, 1, 144729585, 20877615, 1058250, 24225, 255, 1, 14038769745, 2190735855, 125644365, 3480750, 49980, 357, 1, 1586380981185, 263782657215, 16639837830, 529411365, 9328410, 92106, 476, 1

Offset

1,2

Comments

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

Links

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

Example

1;
17,1;
561,51,1;
27489,3111,102,1;
1786785,232815,9945,170,1;
144729585,20877615,1058250,24225,255,1;
14038769745,2190735855,125644365,3480750,49980,357,1;
1586380981185,263782657215,16639837830,529411365,9328410,92106,476,1;

Maple

b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^17*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: A279363 A295576 A376019 * A139804 A321259 A352073

Adjacent sequences: A223516 A223517 A223518 * A223520 A223521 A223522

Keyword

nonn,easy,tabl

Author

Udita Katugampola, Mar 23 2013

Status

approved