the roots of the quadratic equation

The Formulas for Sum of Products of Sequences Associated With the Metallic Means

In this paper, the regularities of convolution of sequences c of Fibonacci numbers {Fn} generated by metallic means and the sum of products of two statistically independent sequences {Fi} and Jn=j∙sin(0.5π(n-j)) are investigated. It is shown that the known closed forms of sums for convolutionn ... and product ...