In the paper "Triangulations, orientals, and skew monoidal categories", the
free monoidal category Fsk on a single generating object was described. We
sharpen this by giving a completely explicit description of Fsk, and so of the
free skew monoidal category on any category. As an application we describe
adjunctions between the operad for skew monoidal categories and various simpler
operads. For a particular such operad L, we identify skew monoidal categories
with certain colax L-algebras.Comment: v2: changed title, otherwise minimal change