A self-avoiding polygon containing three corners of its minimal bounding rectangle. The anisotropic area and perimeter generating
function
and partial generating functions , connected by
(1)
satisfy the self-reciprocity and inversion relations
Bousquet-Mélou, M.; Guttmann, A. J.; Orrick, W. P.; and Rechnitzer, A. "Inversion Relations, Reciprocity and Polyominoes."
23 Aug 1999. http://arxiv.org/abs/math.CO/9908123.