Integer sequences and matrices over finite fields

Details Integer sequences and matrices over finite fields Integer sequences and matrices over finite fields

2006-06-02

arxiv.org/abs/math/0606056v1

Journal of Integer Sequences, 9, 2006, Article 06.2.1

Mathematics

Combinatorics

27 pages

Scientific paper

In this expository article we collect the integer sequences that count several different types of matrices over finite fields and provide references to the Online Encyclopedia of Integer Sequences (OEIS). Section 1 contains the sequences, their generating functions, and examples. Section 2 contains the proofs of the formulas for the coefficients and the generating functions of those sequences if the proofs are not easily available in the literature. The cycle index for matrices is an essential ingredient in most of the derivations.

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