A053774 Number of n X n binary matrices of order dividing 9 (i.e., number of solutions of X^9=I in GL(n,2)).

1, 3, 57, 1233, 75393, 339089409, 2607120373761, 42451338836860929, 3767776947041641791489, 355742034243147691726340097, 91926159597577085028716636536833, 97320453584330647458564330111836880897, 145554614131872292109665186286397182040866817

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• V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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, 9) \\ Andrew Howroyd, Jul 09 2018

Extensions

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