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%I #11 Jan 17 2020 21:35:02
%S 1,5,120,7770,1088430,286243776,127860662755,90079147136880,
%T 94572327271677750,141504997346476482290,291098519807782284023426,
%U 799388312264077003441393875,2859142263297618955891805452700
%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}.
%C 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.
%C a(n) is the number of n element multisets of n element multisets of a 5-set. - _Andrew Howroyd_, Jan 17 2020
%H Andrew Howroyd, <a href="/A099123/b099123.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) = binomial(binomial(n + 4, n) + n - 1, n). - _Andrew Howroyd_, Jan 17 2020
%o (PARI) a(n)={binomial(binomial(n + 4, n) + n - 1, n)} \\ _Andrew Howroyd_, Jan 17 2020
%Y Column k=5 of A331436.
%Y Cf. A099121, A099122, A099124, A099125, A099126, A099127, A099128.
%K nonn
%O 0,2
%A _Sascha Kurz_, Sep 28 2004
%E a(0)=1 prepended by _Andrew Howroyd_, Jan 17 2020
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