On Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions I


In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (“Selfcomplementary totally symmetric plane partitions” J. Combin. Theory Ser. A 42, 277–292), concerning the totally symmetric self-complementary plane partitions (TSSCPPs). We also present some new conjectures and give Pfaffian expressions for them

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