Generalized Multiple Counting Jacobsthal Sequences of Fermat Pseudoprimes

Cilasun M. H.

JOURNAL OF INTEGER SEQUENCES, cilt.19, sa.2, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF INTEGER SEQUENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.