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A088668 Number of n X n matrices over GF(2) with characteristic polynomial x^(n-1) * (x-1). +0
1
1, 6, 112, 7680, 2031616, 2113929216, 8727373545472 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

FORMULA

a(n) = q/(q-1)*(q^(n^2-n)-q^(-2*n+n^2) where q = 2, 3, 4, 5 for this sequence, A088671, A088852, A088853 respectively.

CROSSREFS

Sequence in context: A024274 A009612 A009798 this_sequence A066931 A051228 A059116

Adjacent sequences: A088665 A088666 A088667 this_sequence A088669 A088670 A088671

KEYWORD

nonn

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com0 and W. Edwin Clark (eclark(AT)math.usf.edu), Nov 29 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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