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A053855 Number of n X n matrices over GF(3) of order dividing 10 (i.e., number of solutions of X^10=I in GL(n,3)). 0

%I #14 May 14 2019 08:32:47

%S 2,14,236,619220,11890945640,613445895807320,70424130340088781680,

%T 325784192369064628390662800,38844516111082042308571222950605600,

%U 13159967487181842256922128281356518089759200,9916640076650391701813048608335186503022719034948800

%N Number of n X n matrices over GF(3) of order dividing 10 (i.e., number of solutions of X^10=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 10) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053725, A053775, 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 24 11:21 EDT 2024. Contains 371936 sequences. (Running on oeis4.)