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A099125 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}. 9

%I #11 Jan 17 2020 21:37:54

%S 1,7,406,102340,83369265,179224992408,878487565272240,

%T 8800321588119330984,165564847349896309234920,

%U 5470105884755875924791320090,300550263698274781577833262263448,26251679033395309424785182716562495776,3509663406416043297299781592276029113718775

%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}.

%C This is the number of possible votes of n referees judging n dancers by a mark between 0 and 6, where the referees cannot be distinguished.

%C a(n) is the number of n element multisets of n element multisets of a 7-set. - _Andrew Howroyd_, Jan 17 2020

%H Andrew Howroyd, <a href="/A099125/b099125.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) = binomial(binomial(n + 6, n) + n - 1, n). - _Andrew Howroyd_, Jan 17 2020

%o (PARI) a(n)={binomial(binomial(n + 6, n) + n - 1, n)} \\ _Andrew Howroyd_, Jan 17 2020

%Y Column k=7 of A331436.

%Y Cf. A099121, A099122, A099123, A099124, A099126, A099127, A099128.

%K nonn

%O 0,2

%A _Sascha Kurz_, Sep 28 2004

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

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Last modified April 18 21:51 EDT 2024. Contains 371781 sequences. (Running on oeis4.)