The Pell-Padovan p-Sequences and Its Applications

DEVECİ Ö., Akuzum Y., KARADUMAN E.

UTILITAS MATHEMATICA, cilt.98, ss.327-347, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98
  • Basım Tarihi: 2015
  • Dergi Adı: UTILITAS MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.327-347
  • Anahtar Kelimeler: Pell-Padovan p-numbers, Matrix, Sequence, Group, Length, FIBONACCI SEQUENCES, LUCAS-NUMBERS, MODULO-M, BIPARTITE GRAPHS, BINET FORMULAS, FINITE-GROUPS, SUMS, MATRICES, REPRESENTATIONS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define the Pell-Padovan p-numbers then we obtain the generating matrix, permanental representation, the Binet formula, the generating function, the exponential representation, the combinatorial representations and the sums of the Pell-Padovan p-numbers. Also, we study the Pell-Padovan p-numbers modulo m. Furthermore, we extend the Pell-Padovan p-sequences to generated groups by two or more elements. Finally, we obtain the lengths of the periods of the Pell-Padovan p-sequences in the unimodular group m(2) the modular group m(2)(+) which is an index 2 subgroup of TT, and the group R-2 which is a commutator subgroup of m(2).