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A088671
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Number of n X n matrices over GF(3) with characteristic polynomial x^(n-1) * (x-1).
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5
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1, 12, 1053, 787320, 5208653241, 308413053837252, 164053436379620039253, 784901799876425497055472240, 33790882475498615361517892887614321, 13091723638887447119952122094399781435115772, 45648533143796439623892471646730372987043769546194573
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OFFSET
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1,2
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REFERENCES
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I. Reiner, On the number of matrices with given characteristic polynomial, Illinois J. Math. 5 1961 324-329.
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LINKS
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FORMULA
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a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 3.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com) and W. Edwin Clark, Nov 29 2003
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EXTENSIONS
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STATUS
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approved
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