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A053847 Number of n X n matrices over GF(3) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,3)). 0

%I #15 Jan 16 2022 15:20:59

%S 1,9,729,82161,61922961,327523604409,2968963728429609,

%T 177453815706399966561,71091462160659703468902561,

%U 51901843800561973225033489716969,249256796709038336422469428312871270649,7916914883318037268574503647562168355985573201

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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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

%Y Cf. A053725.

%K nonn

%O 1,2

%A _Vladeta Jovovic_, Mar 28 2000

%E More terms from _Sean A. Irvine_, Jan 16 2022

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Last modified April 16 01:01 EDT 2024. Contains 371696 sequences. (Running on oeis4.)