A053772 Number of n X n binary matrices of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,2)).

1, 1, 49, 5761, 476161, 457113601, 3439085027329, 18696142934507521, 144017748317668638721, 30063679011292374997401601, 10371304522603231166854078660609, 3639433320096084212920229480292679681, 18767347744724322162378748108305552459694081

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 7) \\ Andrew Howroyd, Jul 09 2018

Extensions

a(12)-a(13) from Andrew Howroyd, Jul 09 2018