Bounds for a binomial sum involving powers of the summation index
Eliardo G. Costa
TL;DR
This paper establishes bounds for a specific binomial sum related to the enumeration of multi-link inverted pendulums, contributing to the mathematical understanding of such sums.
Contribution
It provides new bounds for a binomial sum associated with the multi-link inverted pendulum enumeration problem.
Findings
Derived explicit bounds for the binomial sum
Enhanced understanding of combinatorial sums in mechanical systems
Potential applications in robotics and control theory
Abstract
Recently, the properties of a binomial sum related to the multi-link inverted pendulum enumeration problem have been studied. In this note, we establish bounds for this binomial sum.
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Taxonomy
TopicsCoding theory and cryptography · Mathematical functions and polynomials · Advanced Combinatorial Mathematics