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Asymptotics for 'generalized" Kasteleyn's formula

A follow up on an earlier MO question. Kasteleyn's formula for the number of domino tilings of a $2n\times 2n$ square $\prod_{j=1}^n\prod_{k=1}^n \left( 4\cos^2(\pi j/(2n+1))+4\cos^2(\pi k/(2n+1))\...
T. Amdeberhan's user avatar