A053848 Number of n X n matrices over GF(3) of order dividing 4 (i.e., number of solutions of X^4=I in GL(n,3)).

2, 20, 1640, 901424, 1333386848, 9762556479680, 552311189659544960, 178664076508334107310336, 177339376736100844376103875072, 928195308949863753322027981355832320, 37279296908672313898400994512625009709475840

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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. A053718, A053725, A053846.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(12, 3, 4) \\ Andrew Howroyd, Jul 09 2018

Extensions

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