<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>Turkish Journal of Analysis and Number Theory</journalTitle>
<publicationDate>2014-11-23</publicationDate>
<volume>2</volume>
<issue>6</issue>
<startPage>193</startPage>
<endPage>197</endPage>
<doi>10.12691/tjant-2-6-1</doi>
<publisherRecordId>TJANT2014261</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Generalized Fibonacci-Lucas Sequence</title>
<authors>
<author>
<name>Bijendra Singh</name>
<affiliationId>1</affiliationId>
</author>
<author>
<name>Omprakash Sikhwal</name>
<email>opbhsikhwal@rediffmail.com</email>
<affiliationId>2</affiliationId>
</author>
<author>
<name>Yogesh Kumar Gupta</name>
<affiliationId>3</affiliationId>
</author>

</authors>
<affiliationsList>
<affiliationName affiliationId="1">School of Studies in Mathematics, Vikram University, Ujjain-456010 (M. P.), India</affiliationName>
<affiliationName affiliationId="2">Department of Mathematics, Mandsaur Institute of Technology, Mandsaur (M. P.), India</affiliationName>
<affiliationName affiliationId="3">School of Studies in Mathematics, Vikram University, Ujjain, (M. P.), India</affiliationName>
</affiliationsList>
<abstract language="eng">The Fibonacci sequence is a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. 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 and F0=0, F1=1, where Fn is a nth number of sequence. The Lucas Sequence is defined by the recurrence formula  and L0=2, L1=1, where Ln is a nth number of sequence. In this paper, Generalized Fibonacci-Lucas sequence is introduced and defined by the recurrence relation  with B0 = 2b, B1 = s, where b and s are integers. We present some standard identities and determinant identities of generalized Fibonacci-Lucas sequences by Binet's formula and other simple methods.</abstract>
<fullTextUrl format="pdf">http://pubs.sciepub.com/tjant/2/6/1/tjant-2-6-1.pdf</fullTextUrl>
<keywords language="eng"><keyword>Fibonacci sequence</keyword>
<keyword>Lucas sequence</keyword>
<keyword>Generalized Fibonacci-Lucas sequence</keyword>
<keyword>Binet's formula</keyword>
</keywords>
</record>
</records>
