Almost Balancing-Like Sequences
Authors
-
Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, 751024. Odisha ,IN
A. K. Panda -
Department of Mathematics, KIIT Deemed to be University, Bhubaneswar, 751024. Odisha ,INC. Rout
DOI:
https://doi.org/10.18311/jims/2024/29815Abstract
Balancing-like sequences are generalizations of the balancing sequence obtained by altering a coefficient in the recurrence relation for the balancing sequence. Almost balancing numbers are solutions of a Diophantine equation resulting from slight alteration of the defining equation of the balancing numbers. Almost balancing-like sequences are variants of the balancing-like sequences and serve as generalizations of the almost balancing sequences.
Downloads
Metrics
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 A. K. Panda, C. Rout
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023-06-26
Published 2024-01-01
References
A. Behera and G. K.Panda, On the square roots of triangular numbers, Fibonacci Quart., 37(2) (1999), 98-105.
M. A. Khan and H. Kwong, Some binomial identities associated with the generalized natural number sequence, Fibonacci Quart., 49(1) (2011), 57-65
R. A. Mollin, Fundamental number theory with applications, Boca Raton, CRC Press, London, 2004.
G. K. Panda and S. S. Rout, A class of recurrent sequences exhibiting some exciting properties of balancing numbers, World Acad. Sci., Eng. Tech., 6(1) (2012), 164-166.
G. K. Panda and A. K. Panda, Almost balancing numbers, J. Indian Math. Soc., 82(3-4) (2015), 147-156.
P. K. Ray, Balancing and Cobalancing Numbers, Ph.D. thesis, National Institute of Technology, Rourkela, India, 2009.
7