A053862 - OEIS

%I #13 Jul 09 2018 20:01:32

%S 1,1,5761,31334401,136768389121,820260207643852801,

%T 18335066086016219275591681,328113739821565326934355528908801,

%U 13331506915406061943466437913131131863041,709215733340453866919693651825288232662162472960001,51979148071106263356020510647871238516054065671329809222860801

%N Number of n X n matrices over GF(4) of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,4)).

%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

%H Kent E. Morrison, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Morrison/morrison37.html">Integer Sequences and Matrices Over Finite Fields</a>, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

%o (PARI) \\ See A053725 for F(n,q,k).

%o F(12, 4, 7) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053725, A053772, A053856.

%K nonn

%O 1,3

%A _Vladeta Jovovic_, Mar 28 2000

%E a(8)-a(11) from _Andrew Howroyd_, Jul 09 2018