[go: up one dir, main page]

login
Number of n X n matrices over GF(5) with characteristic polynomial x^(n-1) * (x-1).
3

%I #13 Oct 05 2013 06:05:37

%S 1,30,19375,304687500,119171142578125,1164078712463378906250,

%T 284213456325232982635498046875,

%U 1734719035084708593785762786865234375000,264697660491697295270796530530788004398345947265625,1009741855285318541798553204635879865236347541213035583496093750

%N Number of n X n matrices over GF(5) 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 = 5.

%Y Cf. A088668, A088671, A088852.

%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