A053853 - OEIS

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A053853

Number of n X n matrices over GF(3) of order dividing 8 (i.e., number of solutions of X^8=I in GL(n,3)).

2, 32, 4448, 3816128, 26288771456, 1354765603506176, 413011432853757876224, 1232292753203369699693195264, 12961108500525078696110888464867328, 1011066029229309888379062265909092037296128, 580367747201355872811056515502067372016693810429952

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OFFSET

1,1

REFERENCES

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

LINKS

Table of n, a(n) for n=1..11.

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(12, 3, 8) \\ Andrew Howroyd, Jul 09 2018

CROSSREFS