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A053776 Number of n X n binary matrices of order dividing 11 (i.e., number of solutions of X^11=I in GL(n,2)). 1

%I #14 May 14 2019 08:32:41

%S 1,1,1,1,1,1,1,1,1,358201502736997192984166401,

%T 750836199529096452135514747699201,

%U 1049488806253789856936937093744033792001,1257525074216198249058077510927708275605504001,1406432139324346089084141831613688810103123424051201

%N Number of n X n binary matrices of order dividing 11 (i.e., number of solutions of X^11=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 11) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053722, A053725, A053718.

%K nonn

%O 1,10

%A _Vladeta Jovovic_, Mar 24 2000

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