In 1981, the production of the international Sunspot Number moved from the Zürich Observatory to the Royal Observatory of Belgium, with a new pilot station, the Specola Solare Ticinese Observatory in Locarno. This marked a very important transition in the history of the Sunspot Number. Those recent decades are particularly important as they provide the link between recent modern solar indices and fluxes and the entire Sunspot Number series extending back to the 18 th century. However, large variations have been recently identified in the scale of the Sunspot Number between 1981 and the present. Here, we refine the determination of those recent inhomogeneities by reconstructing a new average Sunspot Number series S N from a subset of long-duration stations between 1981 and 2015. We also extend this reconstruction by gathering long-time series from 35 stations over 1945-2015, thus straddling the critical 1981 transition. In both reconstructions, we also derive a parallel Group Number series G N built by the same method from exactly the same data set. Our results confirm the variable trends associated with drifts of the Locarno pilot station, which start only in 1983. We also verify the scale of the resulting 1981-2015 correction factor relative to the preceding period , which leads to a fully uniform S N series over the entire 1945-2015 interval. By comparing the new S N and G N series, we find that a constant quadratic relation exists between those two indices. This proxy relation leads to a fully constant and cycle-independent S N /G N ratio over cycles 19 to 23, with the exception of cycle 24 where it drops to a lower value. Several comparisons with other indices show a very good agreement between our reconstructed G N and the new "backbone" Group Number (Clette et al., 2014) but reveal inhomogeneities in the original Group Number as well as the F 10.7 radio flux and the American sunspot number R a over the period 1945-2015.