Lucas Sequences

Masum Billal () and Samin Riasat

Chapter Chapter 4 in Integer Sequences, 2021, pp 73-90 from Springer

Abstract: Abstract This chapter discusses generalizations on Lucas sequence. We will establish some results regarding general Lucas sequences and find out when a Lucas sequence is divisible. The usual Fibonacci sequence $$1,1,2,3,5,8,\ldots $$ 1 , 1 , 2 , 3 , 5 , 8 , … is a special case of Lucas sequence. Therefore, pretty much every theorem discussed in this chapter along with the results in Chapter 3 are applicable to Fibonacci numbers.

Date: 2021
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DOI: 10.1007/978-981-16-0570-3_4

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