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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
Column k=4 of A331436.
Sequence in context: A322627 A206384 A271715 * A001500 A246968 A355073
KEYWORD
nonn
AUTHOR
Sascha Kurz, Sep 28 2004
EXTENSIONS
a(0)=1 prepended by Andrew Howroyd, Jan 17 2020
STATUS
approved

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Last modified April 20 05:25 EDT 2024. Contains 371798 sequences. (Running on oeis4.)