Journal of Integer Sequences, Vol. 24 (2021), Article 21.6.8

Mean Value Inequalities for Motzkin Numbers


Takashi Agoh
Department of Mathematics
Tokyo University of Science
Noda, Chiba 278-8510
Japan

Horst Alzer
Morsbacher Straße 10
51545 Waldbröl
Germany

Abstract:

Following up on results of Aigner, we present some inequalities for Motzkin numbers Mn. In particular, we prove that the sequence (1/Mn)n≥1 is strictly convex.

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(Concerned with sequences A001006 A114473.)

Received December 1 2020; revised version received May 27 2021. Published in Journal of Integer Sequences, June 2 2021.

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