2 problems

Let $D_{s,t}(n)$ denote the determinant associated with the corresponding family of cyclically symmetric rhombus-tiling regions, with the parity of $s-t$ distinguishing ordinary ti…

Let $\alpha(n;k_1,\ldots,k_n)$ denote the number of monotone triangles with bottom row $(k_1,\ldots,k_n)$, extended to arbitrary integer bottom rows by the associated evaluation. F…