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2007•Journal of Shangluo UniversityRequires access

A Group of Identities of Squared Combination of Fibonacci Number and Lucas Number

Hui Wang

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Abstract

Aim To study the calculating formula of squared combination of Fibonacci number and Lucas number.Method Primary method.Result A group of identities of squared combination of Fibonacci number and Lucas number is obtained.Meanwhile the squared sum and difference of Fibonacci number and Lucas number,together with the calculating formula for square of Fibonacci number and Lucas number,is obtained.Conclusion This method can be used in the study of other number series,and provide new way for the study of Fibonacci number and Lucas number.

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What this paper is about

Aim To study the calculating formula of squared combination of Fibonacci number and Lucas number.Method Primary method.Result A group of identities of squared combination of Fibonacci number and Lucas number is obtained.Meanwhile the squared sum and difference of Fibonacci number and Lucas number,together with the calculating formula for square of Fibonacci number and Lucas number,is obtained.Conclusion This method can be used in the study of other number series,and provide new way for the study of Fibonacci number and Lucas number.

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Available abstract

Aim To study the calculating formula of squared combination of Fibonacci number and Lucas number.Method Primary method.Result A group of identities of squared combination of Fibonacci number and Lucas number is obtained.Meanwhile the squared sum and difference of Fibonacci number and Lucas number,together with the calculating formula for square of Fibonacci number and Lucas number,is obtained.Conclusion This method can be used in the study of other number series,and provide new way for the study of Fibonacci number and Lucas number.

Key concepts: Fibonacci number, Lucas number, Lucas sequence, Mathematics, Fibonacci polynomials, Pisano period, Combinatorics, Square (algebra)

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