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Number of n X n matrices over GF(3) of order dividing 8 (i.e., number of solutions of X^8=I in GL(n,3)).
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%I #14 May 14 2019 04:04:19

%S 2,32,4448,3816128,26288771456,1354765603506176,413011432853757876224,

%T 1232292753203369699693195264,12961108500525078696110888464867328,

%U 1011066029229309888379062265909092037296128,580367747201355872811056515502067372016693810429952

%N Number of n X n matrices over GF(3) of order dividing 8 (i.e., number of solutions of X^8=I in GL(n,3)).

%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

%H Kent E. Morrison, <a href="https://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, 3, 8) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053725, A053773, A053846.

%K nonn

%O 1,1

%A _Vladeta Jovovic_, Mar 28 2000

%E a(10)-a(11) from _Andrew Howroyd_, Jul 09 2018