Generalized Multiple Counting Jacobsthal Sequences of Fermat Pseudoprimes
M. Hüsrev Cılasun
Emerging Circuits and Computation Group
Electrical and Electronics Faculty
Istanbul Technical University
This study involves definitions of regular and representational
multiple-counting Jacobsthal sequences of Carmichael numbers. We
introduce recurrence relations for multiple-counting Jacobsthal
sequences and show their association with Fermat's little theorem. We
also provide matrix representations and generalized Binet formulas for
defined sequences. This leads to a better understanding of how certain
composite numbers are distributed among consecutive powers.
Full version: pdf,
(Concerned with sequences
Received September 26 2015; revised versions received October 23 2015; December 1 2015;
December 19 2015.
Published in Journal of Integer Sequences, January 10 2016.
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