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A053860 Number of n X n matrices over GF(4) of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,4)). 0
1, 25, 8065, 15450625, 1157871796225, 87966277381914625, 163854915382616600346625, 2899292808403896778002083610625, 409353092294744973843137037325905690625, 1655314633158965843313074656520358690270555930625, 8042610863521667687144051842810375934526150927428955930625 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

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

LINKS

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

PROG

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

F(12, 4, 5) \\ Andrew Howroyd, Jul 09 2018

CROSSREFS

Cf. A053725, A053770, A053856.

Sequence in context: A012748 A036512 A306380 * A091744 A061111 A238564

Adjacent sequences:  A053857 A053858 A053859 * A053861 A053862 A053863

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Mar 28 2000

EXTENSIONS

a(8)-a(11) from Andrew Howroyd, Jul 09 2018

STATUS

approved

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Last modified March 24 19:33 EDT 2019. Contains 321448 sequences. (Running on oeis4.)