Enumeration of standard Young tableaux of shifted strips with constant width (Q2363103)

Summary: Let \(g_{n_{1},n_{2}}\) be the number of standard Young tableau of truncated shifted shape with \(n_1\) rows and \(n_2\) boxes in each row. By using the integral method this paper derives the recurrence relations of \(g_{3,n}\), \(g_{n,4}\) and \(g_{n,5}\) respectively. Specifically, \(g_{n,4}\) is the \((2n-1)\)-st Pell number.