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Number of n X n binary matrices of order dividing 6 (i.e., number of solutions of X^6=I in GL(n,2)).
5

%I #12 May 13 2019 12:23:44

%S 1,6,78,6588,1332288,1335398688,2230748717184,13819713971871744,

%T 219439188546028498944,16360198814356838801178624,

%U 3333281205541847127897252298752,2704161270841324410691567986117967872

%N Number of n X n binary matrices of order dividing 6 (i.e., number of solutions of X^6=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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.

%Y Cf. A053722, A053725, A053718.

%K nonn

%O 1,2

%A _Vladeta Jovovic_, Mar 24 2000

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Last modified September 23 21:13 EDT 2024. Contains 376182 sequences. (Running on oeis4.)