An Explicit Conjectured Determinant Evaluation Whose Proof Would Make Me Happy (and the OEIS richer)

TL;DR

The paper presents a conjecture of an explicit determinant evaluation linked to an enumeration problem, offering a monetary reward for its proof to enrich mathematical understanding and the OEIS database.

Contribution

It introduces a new conjecture on a determinant evaluation that, if proven, would solve an open enumeration problem and enhance mathematical knowledge.

Findings

Conjecture connects determinant evaluation to enumeration problem

Offers monetary incentives for proof or disproof

Aims to expand OEIS database with new results

Abstract

I conjecture a certain explicit determinant evaluation, whose proof would imply the solution of certain enumeration problem that I have been working on, and that I find interesting. I am pledging \$500 to the OEIS Foundation (in honor of the prover!) for a proof, and \$50 (in honor of the disprover)