login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

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

Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.

Sequence in context: A111872 A089275 A182052 * A242567 A040319 A040318

Adjacent sequences:  A223517 A223518 A223519 * A223521 A223522 A223523

KEYWORD

nonn,easy,tabl

AUTHOR

Udita Katugampola, Mar 23 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 21 09:08 EDT 2021. Contains 345358 sequences. (Running on oeis4.)