Philippe Flajolet's early work in combinatorics

Some of Philippe Flajolet’s combinatorial contributions that he wrote between 1976 and 1995, say, are described. In most of Flajolet’s papers, asymptotic/analytic considerations play a major role. To be true to the spirit of the journal ECA, the emphasis is on the combinatorial part. Covered are Register function of binary trees, approximate counting, digital search trees and the Rice formula, probabilistic counting, adding a new slice, Ramanujan’s influence, finite differences and harmonic numbers, Digits and the Mellin-Perron formula.