Singly, doubly, and triply excited states of the Li isoelectronic sequence have been represented by small expansions of self-consistent, state-specific wave functions containing important contributions from localized and asymptotic correlation components. These wave functions have been used for the prediction of wavelengths and probabilities of one-, two-, and three-electron radiative transitions along the sequence, up to Ne +. For Z around 8 -10, the radiative lifetimes of the triply excited states are about 10 "-10 ' s, a fact which might render them observable in emission.PACS number(s): 31.50.+w, 32.70.Fw