Wang Nian-liang
Abstract
With the use of properties of the 1st and 2nd Chebyshev polynomials and the relationship with Fibonacci number and Lucas number,the Sum of products of Fibonacci-Lucas number even power is obtained.
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With the use of properties of the 1st and 2nd Chebyshev polynomials and the relationship with Fibonacci number and Lucas number,the Sum of products of Fibonacci-Lucas number even power is obtained.
Key concepts: Fibonacci number, Lucas number, Fibonacci polynomials, Lucas sequence, Pisano period, Mathematics, Chebyshev polynomials, Combinatorics