Lagrange à la Lah Part I and Lagrange à la Lah Part II are a set of notes on partition polynomials derived from binomial Sheffer sequences via umbral refinement, their relation to compositional inversion via the Laplace transform, and their characterization by umbral operator trees–the

*Bell / Bruno / Touchard partition polynomials*
*Lah / Laguerre partition polynomials *(order -1)
*Stirling / cycle index polynomials *(#s of the first kind / symmetric group)
*Lagrange partition polynomials*

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