Belbachir, Hacène; Szalay, László

Unimodal rays in the ordinary and generalized Pascal triangles

J. Integer Seq. 11(2), Article ID 08.2.4, 7 p., electronic only (2008)

Summary

Summary: The present paper provides the solution of two problems recently posed by Bencherif, Belbachir and Szalay. For example, they conjectured that any sequence of binomial coefficients lying along a ray in Pascal's triangle is unimodal.

Mathematics Subject Classification

11B65, 05A10, 11B39

Keywords/Phrases

unimodality, log-concavity, generalized binomial coefficients, generalized fi- bonacci numbers

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