A053849 Number of n X n matrices over GF(3) of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,3)).

1, 1, 1, 303265, 2972290465, 21908753010145, 149203663865159905, 46239110653796245209025, 2921531591617287960635324005825, 141479937596692631672320398001559452225, 6324451981634068043025384996830468552444687425

Offset

1,4

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, 5) \\ Andrew Howroyd, Jul 09 2018

Crossrefs

Cf. A053725, A053770, A053846.

Sequence in context: A183641 A212230 A185852 * A227780 A237950 A116888

Adjacent sequences: A053846 A053847 A053848 * A053850 A053851 A053852

Keyword

nonn

Author

Vladeta Jovovic, Mar 28 2000

Extensions

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

Status

approved