Generalized Multiple Counting Jacobsthal Sequences of Fermat Pseudoprimes

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Cilasun M. H.

JOURNAL OF INTEGER SEQUENCES, vol.19, no.2, 2016 (ESCI)

• Publication Type: Article / Article
• Volume: 19 Issue: 2
• Publication Date: 2016
• Journal Name: JOURNAL OF INTEGER SEQUENCES
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Istanbul Technical University Affiliated: Yes

Abstract

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 I3inet formulas for defined sequences. This leads to a better understanding of how certain composite numbers are distributed among consecutive powers.