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)).

2, 14, 236, 619220, 11890945640, 613445895807320, 70424130340088781680, 325784192369064628390662800, 38844516111082042308571222950605600, 13159967487181842256922128281356518089759200, 9916640076650391701813048608335186503022719034948800

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, A053775, A053846.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(12, 3, 10) \\ Andrew Howroyd, Jul 09 2018

Extensions

a(10)-a(11) from Andrew Howroyd, Jul 09 2018