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%I #10 Jul 29 2020 06:13:04
%S 1,3,56,2520,666624,839946240,3343877406720,41781748196966400,
%T 3701652434038082764800,763416952708225267547504640,
%U 750836199529096452135514747699200
%N Number of n X n matrices over GF(2) with minimal polynomial x^n - 1.
%C a(n) is the size of the conjugacy class in GL(n,GF(2)) corresponding to the companion matrix of x^n - 1. It can be given by the number of n X n invertible matrices over GF(2) divided by the number of n X n circulant invertible matrices over GF(2) (i.e., the centralizer of the companion matrix of x^n - 1).
%F a(n) = A002884(n) / A003473(n). If n is an odd prime, then a(n) = A089035(n).
%Y Cf. A002884, A003473, A027362, A089035.
%K nonn
%O 1,2
%A _Christof Beierle_, Jun 24 2020
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