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A223515 Triangle T(n,k) represents the coefficients of (x^13*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297. 0
1, 13, 1, 325, 39, 1, 12025, 1807, 78, 1, 589225, 102375, 5785, 130, 1, 35942725, 6936475, 466830, 14105, 195, 1, 2623818925, 549241875, 41948725, 1538810, 29120, 273, 1, 223024608625, 49858620175, 4198780950, 177364005, 4130490, 53690, 364, 1, 21633387036625 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

1;

13,1;

325,39,1;

12025,1807,78,1;

589225,102375,5785,130,1;

35942725,6936475,466830,14105,195,1

2623818925,549241875,41948725,1538810,29120,273,1;

223024608625,49858620175,4198780950,177364005,4130490,53690,364,1;

21633387036625,...

MAPLE

b[0]:=f(x):

for j from 1 to 10 do

b[j]:=simplify(x^13*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: A278594 A120392 A133371 * A281092 A010223 A010222

Adjacent sequences:  A223512 A223513 A223514 * A223516 A223517 A223518

KEYWORD

nonn,easy,tabl

AUTHOR

Udita Katugampola, Mar 23 2013

STATUS

approved

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)