A223522 - OEIS

A223522

Triangle T(n,k) represents the coefficients of (x^20*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

1, 20, 1, 780, 60, 1, 45240, 4320, 120, 1, 3483480, 382200, 13800, 200, 1, 334414080, 40556880, 1734600, 33600, 300, 1, 38457619200, 5039012160, 243505080, 5699400, 69300, 420, 1

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

20,1;

780,60,1;

45240,4320,120,1;

3483480,382200,13800,200,1;

334414080,40556880,1734600,33600,300,1;

38457619200,5039012160,243505080,5699400,69300,420,1;

5153320972800,718724260800,38155703040,1024322880,15262800,127680,560,1;

MAPLE

b[0]:=f(x):

for j from 1 to 10 do

b[j]:=simplify(x^20*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: A332258 A327023 A280621 * A040395 A040394 A040393

Adjacent sequences: A223519 A223520 A223521 * A223523 A223524 A223525

KEYWORD

nonn,easy,tabl

AUTHOR

Udita Katugampola, Mar 23 2013

STATUS

approved

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