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!)
A111600 Lah numbers: n!*binomial(n-1,9)/10!. 1
1, 110, 7260, 377520, 17177160, 721440720, 28857628800, 1121325004800, 42890681433600, 1629845894476800, 61934143990118400, 2364758225077248000, 91043191665474048000, 3543681152517682176000, 139722285442125754368000 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 156.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 44.

LINKS

Table of n, a(n) for n=10..24.

FORMULA

E.g.f. ((x/(1-x))^10)/10!.

a(n)= (n!/10!)*binomial(n-1, 10-1).

If we define f(n,i,x)= sum(sum(binomial(k,j)*stirling1(n,k)*stirling2(j,i)*x^(k-j),j=i..k),k=i..n) then a(n)=(-1)^n*f(n,10,-10), (n>=10). [From Milan Janjic, Mar 01 2009]

CROSSREFS

Column 10 of unsigned A008297 and A111596. Column 9: A111599.

Sequence in context: A201213 A250528 A251029 * A111784 A146495 A063751

Adjacent sequences:  A111597 A111598 A111599 * A111601 A111602 A111603

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 23 2005

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 February 22 12:33 EST 2020. Contains 332136 sequences. (Running on oeis4.)