Two remarks on skew tableaux (Q554009)

Summary: This paper contains two results on the number \(f^{\sigma/\tau}\) of standard skew Young tableaux of shape \(\sigma/\tau\). The first concerns generating functions for certain classes of ``periodic'' shapes related to work of Gessel-Viennot and Baryshnikov-Romik. The second result gives an evaluation of the skew Schur function \(s_{\lambda/\mu}(x)\) at \(x= (1, 1/2^{2k}, 1/3^{2k},\dots)\) for \(k= 1,2,3\) in terms of \(f^{\sigma/\tau}\) for a certain skew shape \(\sigma/\tau\) depending on \(\lambda/\mu\).