A053772 - OEIS

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

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OFFSET

1,3

REFERENCES

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

LINKS

Table of n, a(n) for n=1..13.

Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

PROG

(PARI) \\ See A053725 for F(n, q, k).

F(15, 2, 7) \\ Andrew Howroyd, Jul 09 2018

CROSSREFS

Cf. A053722, A053725, A053718.

Sequence in context: A129207 A243944 A144928 * A075416 A127861 A130416

Adjacent sequences: A053769 A053770 A053771 * A053773 A053774 A053775

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Mar 24 2000

EXTENSIONS

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

STATUS

approved