Laser-produced Sn plasma sources are used to generate extreme ultraviolet (EUV) light in stateof-the-art nanolithography. An ultraviolet and optical spectrum is measured from a droplet-based laser-produced Sn plasma, with a spectrograph covering the range 200 -800 nm. This spectrum contains hundreds of spectral lines from lowly charged tin ions Sn 1+ -Sn 4+ of which a major fraction was hitherto unidentified. We present and identify a selected class of lines belonging to the quasi-one-electron, Ag-like ([Kr]4d 10 nl electronic configuration), Sn 3+ ion, linking the optical lines to a specific charge state by means of a masking technique. These line identifications are made with iterative guidance from cowan code calculations. Of the 53 lines attributed to Sn 3+ , some 20 were identified from previously known energy levels, and 33 lines are used to determine previously unknown level energies of 13 electronic configurations, i.e., 7p, (7, 8)d, (5, 6)f , (6 − 8)g, (6 − 8)h, (7,8)i. The consistency of the level energy determination is verified by the quantum-defect scaling procedure. The ionization limit of Sn 3+ is confirmed and refined to 328 908.4 cm -1 with an uncertainty of 2.1 cm -1 . The relativistic Fock space coupled cluster (FSCC) calculation of the measured level energies are generally in good agreement with experiment, but fail to reproduce the anomalous behavior of the 5d 2 D and nf 2 F terms. By combining the strengths of FSCC, cowan code calculations, and configuration interaction many-body perturbation theory (CI+MBPT), this behavior is shown to arise from interactions with doubly-excited configurations.