A Combinatorial Proof of the Log-Convexity of Catalan-Like Numbers
Hua Sun and Yi Wang
School of Mathematical Sciences
Dalian University of Technology
The Catalan-like numbers cn,0
, defined by
unify a substantial amount of well-known counting coefficients.
Using an algebraic approach,
Zhu showed that the sequence
Here we give a combinatorial proof of this result
from the point of view of weighted Motzkin paths.
Full version: pdf,
(Concerned with sequences
Received January 28 2014;
revised version received March 17 2014.
Published in Journal of Integer Sequences, March 23 2014.
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