Weighted generalized Fibonacci sums

Abstract

We derive weighted sums, including binomial and double binomial sums, for the generalized Fibonacci sequence $\{G_m\}$ where for $m\ge 2$, $G_m=G_{m-1}+G_{m-2}$ with initial values $G_0$ and $G_1$.

arXiv comment7 pages, no figures, no tables

References in corpus (2)

• Weighted sums of some second-order sequences
• Weighted Tribonacci sums