A053852 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)).

1, 1, 1, 1, 1, 115562653240321, 92079975413927255041, 55043567702937434517811201, 30375957967569132050957664153601, 16344540545803963971405840043681904641, 8722002954856094967866703998081059674593281, 1007937807674669630303410866111304336524953920798402867201

Offset: 1

Author

Vladeta Jovovic, Mar 28 2000

Keywords

• nonn

References

• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

• Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

Crossrefs

Cf. A053725, A053772, A053846.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(12, 3, 7) \\ Andrew Howroyd, Jul 09 2018

Extensions

a(10)-a(12) from Andrew Howroyd, Jul 09 2018