@article{tjant2014269,
author={{Gupta, Yogesh Kumar and Singh, Mamta and Sikhwal, Omprakash},
title={Generalized Fibonacci ¨C Like Sequence Associated with Fibonacci and Lucas Sequences},
journal={Turkish Journal of Analysis and Number Theory},
volume={2},
number={6},
pages={233--238},
year={2014},
url={http://pubs.sciepub.com/tjant/2/6/9},
abstract={The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula F_{n}_{=}F_{n}_{-1}+F_{n}_{-2, }, and F_{0}=0, F_{1}=1, where F_{n} is a n^{th }number of sequence. Many authors have been defined Fibonacci pattern based sequences which are popularized and known as Fibonacci-Like sequences. In this paper, Generalized Fibonacci-Like sequence is introduced and defined by the recurrence relation B_{n}_{=}B_{n}_{-1}+B_{n}_{-2,} with B_{0}=2s, B_{1}=s+1, where s being a fixed integers. Some identities of Generalized Fibonacci-Like sequence associated with Fibonacci and Lucas sequences are presented by BinetĄ¯s formula. Also some determinant identities are discussed.},
doi={10.12691/tjant-2-6-9}
publisher={Science and Education Publishing}
}