MMN-345
Formulas for weighted binomial sums using the powers of terms of binary recurrences
Emrah Kiliç; Yücel Türker Ulutaş; Neşe Ömür;Abstract
In this paper, we give general formulas for some weighted binomial
sums with the powers of terms of certain binary recurrences. As applications of our results, we show that the weighted binomial sums with the generalized Fibonacci and Lucas numbers can be expressed via the second kinds of both Chebyshev polynomials and Stirling numbers.
Vol. 13 (2012), No. 1, pp. 53-65