A053770 Number of n X n binary matrices of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,2)).

1, 1, 1, 1345, 666625, 223985665, 65019838465, 105072058957825, 11436238073940148225, 997931868985434228916225, 74706800043914446529756135425, 5321514758546715999509008953114625, 3721818216683598164434468712927276826625

Offset: 1

Author

Vladeta Jovovic, Mar 24 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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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. A053722, A053725, A053718.

Programs

PARI

\\ See A053725 for F(n,q,k).
F(15, 2, 5) \\ Andrew Howroyd, Jul 09 2018

Extensions

a(13) from Andrew Howroyd, Jul 09 2018