Partial Results on Hankel Determinants and the Corresponding J-Fractions of a Sequence Related to Bernoulli Numbers

Lin Jiu, Yihang Yin

When exploring the Hankel determinant of the sequence ${\mu }_k=B_{k+1}/(k+1)$, where $B_k$ is the $k$-th Bernoulli number, we obtained two interesting results. The first one applie…