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%I #13 Jul 26 2020 11:48:01
%S 1,6,231,30856,11009376,8809549056,13949678575756,39822612151165272,
%T 190782296093487153627,1449479533445348118223510,
%U 16683660613067331275158983216,280167196060745030529247396914000,6651137552302201488023930244802896266
%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}.
%C This is the number of possible votes of n referees judging n dancers by a mark between 0 and 5, where the referees cannot be distinguished.
%C a(n) is the number of n element multisets of n element multisets of a 6-set. - _Andrew Howroyd_, Jan 17 2020
%H Andrew Howroyd, <a href="/A099124/b099124.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) = binomial(binomial(n + 5, n) + n - 1, n). - _Andrew Howroyd_, Jan 17 2020
%t Table[Binomial[Binomial[n+5,n]+n-1,n],{n,0,20}] (* _Harvey P. Dale_, Jul 26 2020 *)
%o (PARI) a(n)={binomial(binomial(n + 5, n) + n - 1, n)} \\ _Andrew Howroyd_, Jan 17 2020
%Y Column k=6 of A331436.
%Y Cf. A099121, A099122, A099123, A099125, A099126, A099127, A099128.
%K nonn
%O 0,2
%A _Sascha Kurz_, Sep 28 2004
%E a(0)=1 prepended and a(12) and beyond from _Andrew Howroyd_, Jan 17 2020
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