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Number of n X n matrices over GF(4) with characteristic polynomial x^(n-1) * (x-1).
3

%I #12 Oct 04 2013 11:01:18

%S 1,20,5376,22282240,1464583847936,1536853372840181760,

%T 25788843362951132511993856,6922956840496417818923870380359680,

%U 29734213503918523875893136571995338085236736,2043325439152335369940571764620635289780959288334745600

%N Number of n X n matrices over GF(4) with characteristic polynomial x^(n-1) * (x-1).

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

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

%Y Cf. A088668, A088671, A088853.

%K nonn

%O 1,2

%A Yuval Dekel (dekelyuval(AT)hotmail.com) and _W. Edwin Clark_, Nov 29 2003

%E Added more terms, _Joerg Arndt_, Oct 04 2013