A053862 Number of n X n matrices over GF(4) of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,4)).

1, 1, 5761, 31334401, 136768389121, 820260207643852801, 18335066086016219275591681, 328113739821565326934355528908801, 13331506915406061943466437913131131863041, 709215733340453866919693651825288232662162472960001, 51979148071106263356020510647871238516054065671329809222860801

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, A053856.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(12, 4, 7) \\ Andrew Howroyd, Jul 09 2018

Extensions

a(8)-a(11) from Andrew Howroyd, Jul 09 2018