Short and Tandem Syntheses of Spiro[2.5]octane-5,7-dione and Spiro[3.5]nonane-6,8-dione via Diethyl Acetonedicarboxylate. -The synthesis of title species (III) and (V) involves cyclization of tricarbonyl compound (I) with acrylates (II) and (VI) followed by decarboxylation. -(JIN, X.; XU, W.; YANG, J.; LU, J.; FU, Y.; XIE, L.; ZHU, Q.; DONG*, W.; Tetrahedron Lett. 56 (2015) 45, 6287-6289, http://dx.