Reactions of 2,2-dimethyl-5-(3-oxoalkanoyl)-1,3-dioxane-4,6-diones with alkoxyamines proceed regioselectively at the β′-keto group of the side acyl chain affording the corresponding tricarbonyl imines whose boiling in toluene leads to the formation of products of intramolecular cyclization, N-alkoxy-2,4-dioxopyridine-3-carboxylic acids. The decarboxylition of the obtained pyridine-3-carboxylic acids in mesitylene at 160–165°C gives in the preparative yield N-alkoxypyridine-2,4-diones. Proceeding from the IR and NMR spectra the problems of the keto-enol and imine-enamine tautomerism were discussed for the series of 5-acyl derivatives of the Meldrum acid and the obtained N-alkoxypyridine-2,4-diones.