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A053852
Number of n X n matrices over GF(3) of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,3)).
0
1, 1, 1, 1, 1, 115562653240321, 92079975413927255041, 55043567702937434517811201, 30375957967569132050957664153601, 16344540545803963971405840043681904641, 8722002954856094967866703998081059674593281, 1007937807674669630303410866111304336524953920798402867201
OFFSET
1,6
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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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.
PROG
(PARI) \\ See A053725 for F(n, q, k).
F(12, 3, 7) \\ Andrew Howroyd, Jul 09 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladeta Jovovic, Mar 28 2000
EXTENSIONS
a(10)-a(12) from Andrew Howroyd, Jul 09 2018
STATUS
approved