Periodic Weighted Sums of Binomial Coefficients
Greg Dresden, Yike Li
TL;DR
This paper explores new and existing relations between binomial coefficients, Fibonacci numbers, and Lucas numbers using elementary methods, contributing to combinatorial and number theory knowledge.
Contribution
It introduces new relations between binomial coefficients and Fibonacci and Lucas numbers, expanding the understanding of their interconnections.
Findings
New relations between binomial coefficients and Fibonacci numbers
Old and new identities involving Lucas numbers
Elementary methods used to derive these relations
Abstract
Using elementary methods, we establish old and new relations between binomial coefficients, Fibonacci numbers, Lucas numbers, and more.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Combinatorial Mathematics