Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions
Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions
We prove a constant term conjecture of Robbins and Zeilberger (J. Combin. Theory Ser. A 66 (1994), 17–27), by translating the problem into a determinant evaluation problem and evaluating the determinant. This determinant generalizes the determinant that gives the number of all totally symmetric self-complementary plane partitions contained in a …