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A223519 Triangle T(n,k) represents the coefficients of (x^17*d/dx)^n, where n=1,2,3,... 0
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 (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

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: A264439 A279363 A295576 * A139804 A321259 A159996

Adjacent sequences:  A223516 A223517 A223518 * A223520 A223521 A223522

KEYWORD

nonn,easy,tabl

AUTHOR

Udita Katugampola, Mar 23 2013

STATUS

approved

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)