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A053848 Number of n X n matrices over GF(3) of order dividing 4 (i.e., number of solutions of X^4=I in GL(n,3)). 0

%I #14 May 14 2019 04:03:53

%S 2,20,1640,901424,1333386848,9762556479680,552311189659544960,

%T 178664076508334107310336,177339376736100844376103875072,

%U 928195308949863753322027981355832320,37279296908672313898400994512625009709475840

%N Number of n X n matrices over GF(3) of order dividing 4 (i.e., number of solutions of X^4=I in GL(n,3)).

%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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(12, 3, 4) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053718, A053725, A053846.

%K nonn

%O 1,1

%A _Vladeta Jovovic_, Mar 28 2000

%E a(10)-a(11) from _Andrew Howroyd_, Jul 09 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)