On the arrowhead-Fibonacci numbers

• Autorzy: Inci Gültekin , Ömür Deveci
• Języki publikacji: EN

Abstrakty

EN

In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties. Also, we study the arrowhead-Fibonacci sequence modulo m and we obtain the cyclic groups from the generating matrix of the arrowhead-Fibonacci numbers when read modulo m. Then we derive the relationships between the orders of the cyclic groups obtained and the periods of the arrowhead-Fibonacci sequence modulo m.

Słowa kluczowe

EN

The arrowhead-Fibonacci Numbers; Sequence; Matrix; Period

Kategorie tematyczne

• 15A15: Determinants, permanents, other special matrix functions
• 11C20: Matrices, determinants
• 11K31: Special sequences
• 11B50: Sequences (mod m )

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1104-1113

Daty

wydano

2016-01-01

otrzymano

2016-08-17

zaakceptowano

2016-11-16

online

2016-12-30

Twórcy

autor

Inci Gültekin

• Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum,

autor

Ömür Deveci

• Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100,

Identyfikatory

DOI

10.1515/math-2016-0100