Proves symmetry for boundary-defect off-diagonally symmetric tilings of odd Aztec diamonds and gives Pfaffian formulas for nearly symmetric cases via non-intersecting paths and Delannoy numbers.
Why Delannoy numbe rs? J
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Off-diagonally symmetric domino tilings of the Aztec diamond of odd order
Proves symmetry for boundary-defect off-diagonally symmetric tilings of odd Aztec diamonds and gives Pfaffian formulas for nearly symmetric cases via non-intersecting paths and Delannoy numbers.