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A088671 Number of n X n matrices over GF(3) with characteristic polynomial x^(n-1) * (x-1). 5

%I

%S 1,12,1053,787320,5208653241,308413053837252,164053436379620039253,

%T 784901799876425497055472240,33790882475498615361517892887614321,

%U 13091723638887447119952122094399781435115772,45648533143796439623892471646730372987043769546194573

%N Number of n X n matrices over GF(3) with characteristic polynomial x^(n-1) * (x-1).

%D I. Reiner, On the number of matrices with given characteristic polynomial, Illinois J. Math. 5 1961 324-329.

%F a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 3.

%Y Cf. A088668, A088852, A088853.

%K nonn

%O 1,2

%A Yuval Dekel (dekelyuval(AT)hotmail.com) and _W. Edwin Clark_, Nov 29 2003

%E Added more terms - _Joerg Arndt_, Oct 04 2013

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Last modified May 26 21:56 EDT 2022. Contains 354092 sequences. (Running on oeis4.)