|
|
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
|
Number of permutations of a multiset that contains n different elements, each occurring 6 times.
|
|
LINKS
|
|
|
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
|
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Factorial(6*n)/(720^n) : n in [0..10]]; // # Wesley Ivan Hurt, Nov 01 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|