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A099123
Number of orbits of the wreath product of S_n with S_n on n X n matrices over {0,1,2,3,4}.
9
1, 5, 120, 7770, 1088430, 286243776, 127860662755, 90079147136880, 94572327271677750, 141504997346476482290, 291098519807782284023426, 799388312264077003441393875, 2859142263297618955891805452700
OFFSET
0,2
COMMENTS
This is the number of possible votes of n referees judging n dancers by a mark between 0 and 4, where the referees cannot be distinguished.
a(n) is the number of n element multisets of n element multisets of a 5-set. - Andrew Howroyd, Jan 17 2020
LINKS
FORMULA
a(n) = binomial(binomial(n + 4, n) + n - 1, n). - Andrew Howroyd, Jan 17 2020
PROG
(PARI) a(n)={binomial(binomial(n + 4, n) + n - 1, n)} \\ Andrew Howroyd, Jan 17 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Sascha Kurz, Sep 28 2004
EXTENSIONS
a(0)=1 prepended by Andrew Howroyd, Jan 17 2020
STATUS
approved