A remarkable sequence of integers
Victor H. Moll, Dante Manna
TL;DR
This paper surveys various analytical, combinatorial, and number-theoretical properties of a sequence of coefficients derived from a quartic integral, highlighting their mathematical significance.
Contribution
It provides a comprehensive overview of the properties of a specific integer sequence related to a quartic integral, combining multiple mathematical perspectives.
Findings
Identifies key properties of the sequence
Connects the sequence to analytical and number-theoretical concepts
Summarizes known results and open questions
Abstract
A survey of properties of a sequence of coefficients appearing in the evaluation of a quartic definite integral is presented. These properties are of analytical, combinatorial and number-theoretical nature.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research