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A088852 Number of n X n matrices over GF(4) with characteristic polynomial x^(n-1) * (x-1). 3
1, 20, 5376, 22282240, 1464583847936, 1536853372840181760, 25788843362951132511993856, 6922956840496417818923870380359680, 29734213503918523875893136571995338085236736, 2043325439152335369940571764620635289780959288334745600 (list; graph; refs; listen; history; text; internal format)
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..10.

FORMULA

a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 4

CROSSREFS

Cf. A088668, A088671, A088853.

Sequence in context: A109894 A227765 A250020 * A123379 A175015 A135292

Adjacent sequences:  A088849 A088850 A088851 * A088853 A088854 A088855

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

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Last modified October 15 17:12 EDT 2018. Contains 316237 sequences. (Running on oeis4.)