On truncated fibonacci sequences

Oezkan E.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.38, sa.4, ss.241-251, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 4
  • Basım Tarihi: 2007
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.241-251
  • Anahtar Kelimeler: fibonacci sequence, wall number, truncated fibonacci sequence, multiplicative function
  • Atatürk Üniversitesi Adresli: Hayır

Özet

We prove some theorems concerning truncated Fibonacci sequences, which are defined below in Section 2. We also state some conjectures concerning the period (mod m) of truncated Fibonacci sequences, where the integer m is greater than or equal to 2. In addition, we present some computer-generated results that tend to support these conjectures.