A053855 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

LINKS

Table of n, a(n) for n=1..11.

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

PROG

(PARI) \\ See A053725 for F(n, q, k).

F(12, 3, 10) \\ Andrew Howroyd, Jul 09 2018

CROSSREFS

Cf. A053725, A053775, A053846.

Sequence in context: A093548 A052215 A053846 * A219344 A343441 A152476

Adjacent sequences: A053852 A053853 A053854 * A053856 A053857 A053858

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Mar 28 2000

EXTENSIONS

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

STATUS

approved