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

1,3

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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 4, 7) \\ Andrew Howroyd, Jul 09 2018

Crossrefs

Cf. A053725, A053772, A053856.

Sequence in context: A157988 A330343 A055354 * A235393 A246421 A317049

Adjacent sequences: A053859 A053860 A053861 * A053863 A053864 A053865

Keyword

nonn

Author

Vladeta Jovovic, Mar 28 2000

Extensions

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

Status

approved