%I #13 Mar 26 2022 17:45:39

%S 1,8,666,295240,503167995,2629770332904,35773664992355004,

%T 1119582594247762626696,73241437035618231162682185,

%U 9277639855710782695858431981840,2137918570337064383107929197622033920,850936582591338109213109187016928388683280

%N 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}.

%C 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.

%C a(n) is the number of n element multisets of n element multisets of an 8-set. - _Andrew Howroyd_, Jan 17 2020

%H Andrew Howroyd, <a href="/A099126/b099126.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) = binomial(binomial(n + 7, n) + n - 1, n). - _Andrew Howroyd_, Jan 17 2020

%o (PARI) a(n)={binomial(binomial(n + 7, n) + n - 1, n)} \\ _Andrew Howroyd_, Jan 17 2020

%Y Column k=8 of A331436.

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

%K nonn

%O 0,2

%A _Sascha Kurz_, Oct 11 2004

%E a(0)=1 prepended and a(11) and beyond from _Andrew Howroyd_, Jan 17 2020