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Number of n X n binary matrices of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,2)).
3

%I #14 May 14 2019 08:32:19

%S 1,1,49,5761,476161,457113601,3439085027329,18696142934507521,

%T 144017748317668638721,30063679011292374997401601,

%U 10371304522603231166854078660609,3639433320096084212920229480292679681,18767347744724322162378748108305552459694081

%N Number of n X n binary matrices of order dividing 7 (i.e., number of solutions of X^7=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 7) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053722, A053725, A053718.

%K nonn

%O 1,3

%A _Vladeta Jovovic_, Mar 24 2000

%E a(12)-a(13) from _Andrew Howroyd_, Jul 09 2018