We give a product formula for the number of shifted plane partitions of shifted double staircase shape with bounded entries. This is the first new example of a family of shapes with a plane partition product formula in many years. The proof is based on the theory of lozenge tilings; specifically, we apply the “free boundary” Kuo condensation due to Ciucu.

中文翻译：

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移位双楼梯形状的平面隔断

我们给出了带限制入口的双梯形移位平面的平面分割数量的乘积公式。这是多年来第一个具有平面分区乘积公式的形状族的新示例。证明是基于菱形瓷砖的理论；具体来说，我们应用了由于 Cuicu 引起的“自由边界”Kuo 凝聚。