A053852 - OEIS

%I #14 May 14 2019 04:04:12

%S 1,1,1,1,1,115562653240321,92079975413927255041,

%T 55043567702937434517811201,30375957967569132050957664153601,

%U 16344540545803963971405840043681904641,8722002954856094967866703998081059674593281,1007937807674669630303410866111304336524953920798402867201

%N Number of n X n matrices over GF(3) of order dividing 7 (i.e., number of solutions of X^7=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%D V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 7) \\ _Andrew Howroyd_, Jul 09 2018

%Y Cf. A053725, A053772, A053846.

%K nonn

%O 1,6

%A _Vladeta Jovovic_, Mar 28 2000

%E a(10)-a(12) from _Andrew Howroyd_, Jul 09 2018