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%I #15 May 13 2019 15:32:07
%S 1,25,8065,15450625,1157871796225,87966277381914625,
%T 163854915382616600346625,2899292808403896778002083610625,
%U 409353092294744973843137037325905690625,1655314633158965843313074656520358690270555930625,8042610863521667687144051842810375934526150927428955930625
%N Number of n X n matrices over GF(4) of order dividing 5 (i.e., number of solutions of X^5=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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="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, 4, 5) \\ _Andrew Howroyd_, Jul 09 2018
%Y Cf. A053725, A053770, A053856.
%K nonn
%O 1,2
%A _Vladeta Jovovic_, Mar 28 2000
%E a(8)-a(11) from _Andrew Howroyd_, Jul 09 2018