A099126 Number of orbits of the wreath product of S_n with S_n on n X n matrices over {0,1,2,3,4,5,6,7}.

1, 8, 666, 295240, 503167995, 2629770332904, 35773664992355004, 1119582594247762626696, 73241437035618231162682185, 9277639855710782695858431981840, 2137918570337064383107929197622033920, 850936582591338109213109187016928388683280

Offset: 0

Author

Sascha Kurz, Oct 11 2004

Keywords

• nonn

Comments

This is the number of possible votes of n referees judging n dancers by a mark between 0 and 7, where the referees cannot be distinguished.

a(n) is the number of n element multisets of n element multisets of an 8-set. - Andrew Howroyd, Jan 17 2020

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..100

Crossrefs

Column k=8 of A331436.

Cf. A099121, A099122, A099123, A099124, A099125, A099127, A099128.

Programs

PARI

a(n)={binomial(binomial(n + 7, n) + n - 1, n)} \\ Andrew Howroyd, Jan 17 2020

Formula

a(n) = binomial(binomial(n + 7, n) + n - 1, n). - Andrew Howroyd, Jan 17 2020

Extensions

a(0)=1 prepended and a(11) and beyond from Andrew Howroyd, Jan 17 2020