Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order

Arvind Ayyer, Roger E. Behrend, Ilse Fischer

For each $\alpha \in \{0,1,-1\}$, we count diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order with a maximal number of $\alpha$'s along the diagon…