On the arrowhead-Fibonacci numbers

Inci Gültekin, and Ömür Deveci. "On the arrowhead-Fibonacci numbers." Open Mathematics 14.1 (2016): 1104-1113. <http://eudml.org/doc/288070>.

@article{InciGültekin2016,
abstract = {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.},
author = {Inci Gültekin, Ömür Deveci},
journal = {Open Mathematics},
keywords = {The arrowhead-Fibonacci Numbers; Sequence; Matrix; Period; the arrowhead-Fibonacci numbers; sequence; matrix; period},
language = {eng},
number = {1},
pages = {1104-1113},
title = {On the arrowhead-Fibonacci numbers},
url = {http://eudml.org/doc/288070},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Inci Gültekin
AU - Ömür Deveci
TI - On the arrowhead-Fibonacci numbers
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1104
EP - 1113
AB - 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.
LA - eng
KW - The arrowhead-Fibonacci Numbers; Sequence; Matrix; Period; the arrowhead-Fibonacci numbers; sequence; matrix; period
UR - http://eudml.org/doc/288070
ER -