Browsing Makale Koleksiyonu by Author "Siar, Z; Keskin, R;"

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On square classes in generalized Fibonacci sequences

Keskin, Refik (POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN, 2016)

Let P and Q be nonzero integers. The generalized Fibonacci and Lucas sequences are defined respectively as follows: U0=0,U1=1, V0=2,V1=P and Un+1=PUn+QUn−1, Vn+1=PVn+QVn−1 for n≥1. In this paper, when w∈{1,2,3,6}, for all ...
Pythagorean triples containing generalized Lucas numbers

Zafer Siar; Keskin, Refik (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)

Let P and Q be nonzero integers. Generalized Fibonacci and Lucas sequences are defined as follows: U-0(P, Q) = 0, U-1(P, Q) = 1, and Un+1(P, Q) = PUn(P, Q)+QU(n-1)(P, Q) for n >= 1 and V-0(P, Q) = 2, V-1(P, Q) = P, and ...
SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

Keskin, Refik (HACETTEPE UNIV, FAC SCI, 2013)

U2mn+r equivalent to (-t)(mn) U-r (mod U-m).
THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCE WITH PARAMETERS P AND Q

Zafer Siar; Keskin, Refik (MATEMATISK INST, 2016)

Let P and Q be nonzero integers. Generalized Lucas sequence is defined as follows: V-0 = 2, V-1 = P and Vn+1 = PVn QV(n-1) for n >= 1. We assume that P and Q are odd relatively prime integers. Firstly, we determine all ...