2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129208We give another proof for the (-1)-enumeration of self-complementary plane partitions with at least one odd side-length by specializing a certain Schur function identity. The proof is analogous to Stanley's proof for the ordinary enumeration. In addition, we obtain enumerations of 180-degree symmetric rhombus tilings of hexagons with a barrier of arbitrary length along the central line.AMSLatex, 14 pages, Parity conditions in Theorem 3 corrected and an additional case addedCombinatorics05A15 (Primary); 05E05; 05B45 (Secondary)A Schur function identity related to the (-1)-enumeration of self-complementary plane partitionstext