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Some identities involving Fibonacci sequence and Lucas sequence(PDF)


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Some identities involving Fibonacci sequence and Lucas sequence
CHEN Guohui
College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
the second-order linear recursion sequence convolution sums identities elementary method
O 156.7
There exists the summation problem about the convolution sums of second-order linear recursion sequences. Given the definition and properties of Fibonacci and Lucas polynomials, based on the existing research results,by using the elementary method and the power series expansion of exponential function,some new calculation formulas of these second-order linear recursion sequence are obtained. In addition,by analyzing and generalizing these new results, a series of interesting identities are obtained.


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Last Update: 2019-10-07