... Krattenthaler, An alternative evaluation of the Andrews–Burge determinant, in: Mathemati-cal Essays in Honor of Gian-Carlo Rota, B. E. Sagan, R. P. Stanley, Progress in Math., vol. 161,Birkh¨auser[6] ... 161,Birkh¨auser[6] C. Krattenthaler, Generating functions for plane partitions of a given shape, Manuscripta Math.69, (1990), 173–202.[7] P .A. MacMahon, Combinatory Analysis, vol. 2, Cambridge University ... thisconstant in equation (16) by replacing each entry by its leading coefficient and usingVandermonde’s determinant formula.Equation (7) follows immediately from (8), (10) and (16).6. The “half-integral”...