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

%I #14 May 14 2019 08:33:02

%S 3,63,8739,5790339,25502129667,757411145447427,118807204270671126531,

%T 126820439575807166309695491,924621244138490026408263487979523,

%U 36417188783803065273959858411560634941443,9819078516370596103771260673534011545166677016579

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

%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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

%Y Cf. A053725, A053856.

%K nonn

%O 1,1

%A _Vladeta Jovovic_, Mar 28 2000

%E a(8)-a(11) from _Andrew Howroyd_, Jul 09 2018