Convolution Sums Related to Fibonacci Numbers and Lucas Numbers
Aeran Kim *
A Private Mathematics Academy, 1599-6-bungi, Keumam-2-dong, Deokjin-gu, Jeonju-si, Jeollabuk-do, 561-806, South Korea.
*Author to whom correspondence should be addressed.
Abstract
For all natural number n we deduce binomial convolution sums formulae composed with Fibonacci numbers and Lucas numbers. Moreover we obtain those of similar convolution sums without a binomial symbol.
Keywords: Fibonacci and lucas numbers, convolution sums
How to Cite
Kim, Aeran. 2016. “Convolution Sums Related to Fibonacci Numbers and Lucas Numbers”. Asian Research Journal of Mathematics 1 (1):1-17. https://doi.org/10.9734/ARJOM/2016/27580.
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