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Number of n X n binary matrices of order dividing 4 (also number of solutions to X^4=I in GL(n,2)).
24

%I #12 Jan 16 2022 15:21:57

%S 1,4,64,4096,423616,128802304,131119611904,431739985985536,

%T 2759629471089688576,52225410257290195369984,

%U 3239317987292851928169447424,621439868364968017851608618500096

%N Number of n X n binary matrices of order dividing 4 (also number of solutions to X^4=I in GL(n,2)).

%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a053/A053718.java">Java program</a> (github)

%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.

%K nonn

%O 1,2

%A _Vladeta Jovovic_, Mar 23 2000