Fibonacci Identities Involving Reciprocals of Binomial Coefficients
Kunle Adegoke
TL;DR
This paper derives Fibonacci and Lucas identities involving reciprocals of binomial coefficients and explores extensions to the general Horadam sequence, contributing new mathematical identities.
Contribution
It introduces new Fibonacci and Lucas identities with reciprocals of binomial coefficients and extends some results to the Horadam sequence.
Findings
Derived Fibonacci and Lucas identities involving reciprocals of binomial coefficients
Extended results to the general Horadam sequence in certain cases
Provided mathematical identities that connect Fibonacci, Lucas, and binomial reciprocals
Abstract
We derive some Fibonacci and Lucas identities which contain inverse binomial coefficients. Extension of the results to the general Horadam sequence is possible, in some cases.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Mathematical Theories