A053860 Number of n X n matrices over GF(4) of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,4)).

1, 25, 8065, 15450625, 1157871796225, 87966277381914625, 163854915382616600346625, 2899292808403896778002083610625, 409353092294744973843137037325905690625, 1655314633158965843313074656520358690270555930625, 8042610863521667687144051842810375934526150927428955930625

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, A053770, A053856.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(12, 4, 5) \\ Andrew Howroyd, Jul 09 2018

Extensions

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