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A223520 Triangle T(n,k) represents the coefficients of (x^18*d/dx)^n, where n=1,2,3,.... 0
1, 18, 1, 630, 54, 1, 32760, 3492, 108, 1, 2260440, 277200, 11160, 180, 1, 194397840, 26376840, 1259280, 27180, 270, 1, 20022977520, 2937589200, 158601240, 4140360, 56070, 378, 1, 2402757302400, 375471270720, 22286940480, 667865520, 11093040, 103320, 504, 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
EXAMPLE
1;
18,1;
630,54,1;
32760,3492,108,1;
2260440,277200,11160,180,1;
194397840,26376840,1259280,27180,270,1;
20022977520,2937589200,158601240,4140360,56070,378,1;
2402757302400,375471270720,22286940480,667865520,11093040,103320,504,1
MAPLE
b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^18*diff(b[j-1], x$1);
end do;
CROSSREFS
Sequence in context: A111872 A089275 A182052 * A242567 A040319 A040318
KEYWORD
nonn,easy,tabl
AUTHOR
Udita Katugampola, Mar 23 2013
STATUS
approved

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)