|
|
A099122
|
|
Number of orbits of the wreath product of S_n with S_n on n X n matrices over {0,1,2,3}.
|
|
9
|
|
|
1, 4, 55, 1540, 73815, 5461512, 581106988, 84431259000, 16104878212995, 3910294246315600, 1178924607035010836, 432472873725488656424, 189789513537655207705620, 98222259182333060014344720
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
This is the number of possible votes of n referees judging n dancers by a mark between 0 and 3, where the referees cannot be distinguished.
a(n) is the number n element multisets of n element multisets of a 4-set. - Andrew Howroyd, Jan 17 2020
|
|
LINKS
|
|
|
FORMULA
|
a(n) = binomial(binomial(n+3, n) + n - 1, n). - Andrew Howroyd, Jan 17 2020
|
|
PROG
|
(PARI) a(n)={binomial(binomial(n+3, n) + n - 1, n)} \\ Andrew Howroyd, Jan 17 2020
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|