On the Padovan p-numbers

DEVECİ Ö., KARADUMAN E.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.46, sa.4, ss.579-592, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.15672/hjms.20174622760
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.579-592
  • Anahtar Kelimeler: The Padovan p-numbers, Matrix, Sequence, Group, Length, FINITE-GROUPS, FIBONACCI SEQUENCES, MODULO-M, LUCAS-NUMBERS, MATRICES, SUMS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define the Padovan p-numbers and then we obtain their miscellaneous properties such as the generating matrix, the Binet formula, the generating function, the exponential representation, the combinatorial representations, the sums and permanental representation. Also, we study the Padovan p-numbers modulo m. Furthermore, we define Padovan p-orbit of a finite group and then, we obtain the length of the Padovan p-orbits of the quaternion group Q(2n), (n > 3).