The compositional inversions noted in the Oct. 9-th entry "Flipping
Functions with Permutohedra" have counterparts with respect to the
associahedra, or Stasheff polytopes. The h-polynomials of the
associahedra (see the Narayana number triangle OEIS-A001263) can be
refined as OEIS-A134264 for the coefficients of an indirect Lagrange
method for determining the compositional inverse of a function,
whereas the corresponding f-polynomials (see OEIS-A033282) can be
refined as the unsigned polynomials in OEIS-A133437 (or A111785) for
the coefficients of a Lagrange inversion for an ordinary generating
function. (OEIS denotes the Online Encyclopedia of Integer Sequences.)