A note on congruence properties of the generalized bi-periodic Horadam sequence

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TAN E., Leung H. H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.6, ss.2084-2093, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.539587
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2084-2093
  • Anahtar Kelimeler: Horadam sequence, generalized Fibonacci sequence, generalized Lucas sequence, congruence, IDENTITIES, FIBONACCI
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider a generalization of Horadam sequence {w(n)} which is defined by the recurrence w(n) = aw(n-1) cw(n-2), if n is even, w(n) = bw(n-1) cw(n -2), if n is odd with arbitrary initial conditions w(0), w(1) and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence {w(n)}.