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2 articles for “Lucas sequence.”
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New Number Sequences Obtained with Grouping of Fibonacci Numbers
Abstract: AbstractThe relations of the sum and difference of two Fibonacci numbers, in which the difference of subscripts is even, was given by Koshy. In this study, the relations of the sum and difference of two Fibonacci numbers, in which is the difference of subscripts is odd, is introduced by using the generating functions. Similar results are given for Lucas numbers. Also, two new family of Fibonacci numbers are obtained. Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 27–35 Read article
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New Recurrence Relations for Tribonacci Sequence and Generalized Tribonacci Sequence
Abstract: AbstractTribonacci numbers are placed on the corners of polygons clockwise with each corner receiving a term. Then, it is argued whether there is a relationship among the numbers in the same corners. It is shown to be able to find mth term corresponding to the corner Ak in an n-gon by a relation:where, is a Tribonaccisequence and is a Tribonacci- Lucas sequence. The relation is proved by using a binet …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 1–6 Read article