Returns, Hills, and t-ary Trees
Department of Mathematical Sciences
A recent analysis of returns and hills of generalized Dyck paths is
carried over to the language of t-ary trees, from which, by explicit
bivariate generating functions, all the relevant results follow quickly
and smoothly. A conjecture about the (discrete) limiting distribution
of hills is settled in the affirmative.
Full version: pdf,
(Concerned with sequences
Received June 27 2016;
revised versions received August 26 2016; August 27 2016.
Published in Journal of Integer Sequences, August 29 2016.
Journal of Integer Sequences home page