TY - JOUR
T1 - A note on congruence properties of the generalized bi-periodic horadam sequence
AU - Tan, Elif
AU - Leung, Ho Hon
N1 - Funding Information:
ment of her visit to United Arab Emirates University (UAEU) in February 2019. It is supported by UAEU UPAR Grant G00002599 (Fund No. 31S314).
Publisher Copyright:
© 2020, Hacettepe University. All rights reserved.
PY - 2020
Y1 - 2020
N2 - In this paper, we consider a generalization of Horadam sequence {wn} which is defined by the recurrence wn = awn−1 + cwn−2, if n is even, wn = bwn−1 + cwn−2, if n is odd with arbitrary initial conditions w0, w1 and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence {wn}.
AB - In this paper, we consider a generalization of Horadam sequence {wn} which is defined by the recurrence wn = awn−1 + cwn−2, if n is even, wn = bwn−1 + cwn−2, if n is odd with arbitrary initial conditions w0, w1 and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence {wn}.
KW - Congruence
KW - Generalized Fibonacci sequence
KW - Generalized Lucas sequence
KW - Horadam sequence
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U2 - 10.15672/hujms.539587
DO - 10.15672/hujms.539587
M3 - Article
AN - SCOPUS:85097952040
SN - 1303-5010
VL - 49
SP - 2084
EP - 2093
JO - Hacettepe Journal of Mathematics and Statistics
JF - Hacettepe Journal of Mathematics and Statistics
IS - 6
ER -