A053857 Number of n X n matrices over GF(4) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,4)).

3, 63, 8739, 5790339, 25502129667, 757411145447427, 118807204270671126531, 126820439575807166309695491, 924621244138490026408263487979523, 36417188783803065273959858411560634941443, 9819078516370596103771260673534011545166677016579

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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 4, 3) \\ Andrew Howroyd, Jul 09 2018

Crossrefs

Cf. A053725, A053856.

Sequence in context: A180761 A156904 A193100 * A175985 A037108 A249097

Adjacent sequences: A053854 A053855 A053856 * A053858 A053859 A053860

Keyword

nonn

Author

Vladeta Jovovic, Mar 28 2000

Extensions

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

Status

approved