@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<SUB>n</SUB><SUB>=</SUB>F<SUB>n</SUB><SUB>-1</SUB>+F<SUB>n</SUB><SUB>-2, </SUB><img src=image/abs1.png></img>,  and F<SUB>0</SUB>=0, F<SUB>1</SUB>=1, where F<SUB>n</SUB> is a n<SUP>th   </SUP>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<SUB>n</SUB><SUB>=</SUB>B<SUB>n</SUB><SUB>-1</SUB>+B<SUB>n</SUB><SUB>-2,</SUB>  <img src=image/abs2.png></img> with B<SUB>0</SUB>=2s, B<SUB>1</SUB>=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}
}