Brian McCallion

A Singular-Safe Finite-State Proof for the Dakota Number Wall and Shallit's Three-Value Hankel Problem

Shallit asked whether a sequence taking only three real values can have every shifted Hankel determinant of positive order nonzero. The construction is based on Fred Lunnon's Dakota sequence. Lunnon's unpublished 2018 manuscript already proves the relevant zero-free Dakota-wall r...

A Singular-Safe Finite-State Proof for the Dakota Number Wall and Shallit's Three-Value Hankel Problem

Shallit asked whether a sequence taking only three real values can have every shifted Hankel determinant of positive order nonzero. The construction is based on Fred Lunnon's Dakota sequence. Lunnon's unpublished 2018 manuscript already proves the relevant zero-free Dakota-wall r...