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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A248814 a(n) = (6n)!/(6!^n). 7
1, 1, 924, 17153136, 2308743493056, 1370874167589326400, 2670177736637149247308800, 14007180988362844601443040716800, 171889289584866507880743491472699801600, 4439413043841128802009762476941510771390464000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Column 6 of A187783.

Number of permutations of a multiset that contains n different elements, each occurring 6 times.

LINKS

Table of n, a(n) for n = 0..54

FORMULA

a(n) = (6n)!/(6!^n).

EXAMPLE

a(3) = (6*3)!/(6!^3) = 17153136 is the number of permutations of a multiset that contains 3 different elements 6 times, e.g., {1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3}.

MAPLE

A248814:=n->(6*n)!/(720^n): seq(A248814(n), n=0..10); Wesley Ivan Hurt, Nov 01 2014

MATHEMATICA

Table[(6 n)!/(720^n), {n, 0, 10}] (* Wesley Ivan Hurt, Nov 01 2014 *)

PROG

(MAGMA) [Factorial(6*n)/(720^n) : n in [0..10]]; // # Wesley Ivan Hurt, Nov 01 2014

CROSSREFS

Cf. A187783.

Sequence in context: A179715 A177305 A177306 * A172558 A229778 A172657

Adjacent sequences:  A248811 A248812 A248813 * A248815 A248816 A248817

KEYWORD

nonn,easy

AUTHOR

Tilman Piesk, Oct 29 2014

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 December 4 22:42 EST 2021. Contains 349526 sequences. (Running on oeis4.)