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A088668
Number of n X n matrices over GF(2) with characteristic polynomial x^(n-1) * (x-1).
3
1, 6, 112, 7680, 2031616, 2113929216, 8727373545472, 143552238122434560, 9426286221665580875776, 2473462226931531291448836096, 2594880778667185584863751461404672, 10886377285478460999082179823696022077440, 182665403921164334152319068371262729095485587456
OFFSET
1,2
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.
PROG
(PARI) a(n)=(2^n-1)<<(n^2-2*n+1) \\ Charles R Greathouse IV, Oct 04 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com) and W. Edwin Clark, Nov 29 2003
EXTENSIONS
More terms from Joerg Arndt, Oct 04 2013
STATUS
approved