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%I #15 May 13 2019 12:23:54
%S 1,1,1,1345,666625,223985665,65019838465,105072058957825,
%T 11436238073940148225,997931868985434228916225,
%U 74706800043914446529756135425,5321514758546715999509008953114625,3721818216683598164434468712927276826625
%N Number of n X n binary matrices of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,2)).
%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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(15, 2, 5) \\ _Andrew Howroyd_, Jul 09 2018
%Y Cf. A053722, A053725, A053718.
%K nonn
%O 1,4
%A _Vladeta Jovovic_, Mar 24 2000
%E a(13) from _Andrew Howroyd_, Jul 09 2018
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