A088671 - OEIS

A088671

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

1, 12, 1053, 787320, 5208653241, 308413053837252, 164053436379620039253, 784901799876425497055472240, 33790882475498615361517892887614321, 13091723638887447119952122094399781435115772, 45648533143796439623892471646730372987043769546194573

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OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..11.

FORMULA

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

CROSSREFS

Cf. A088668, A088852, A088853.

Sequence in context: A265488 A232912 A004812 * A274117 A295427 A354822

Adjacent sequences: A088668 A088669 A088670 * A088672 A088673 A088674

KEYWORD

nonn

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com) and W. Edwin Clark, Nov 29 2003

EXTENSIONS

Added more terms - Joerg Arndt, Oct 04 2013

STATUS

approved