2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108845In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (``Self-complementary 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.39 pages, 2 figuresCombinatoricsRepresentation Theory05A15; 05A17, 05E05, 05E10text