Log concavity of a sequence in a conjecture of Simion

Authors:
Martin Hildebrand
Affiliations:
Department of Mathematics and Statistics, State University of New York--University at Albany, Albany, New York
Venue:
Journal of Combinatorial Theory Series A
Year:
2002

Citing 3
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Abstract

Simion presented a conjecture involving the unimodality of a sequence whose elements are the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. In this paper, the author uses ideas from an earlier paper where special cases of this conjecture were proved to prove log concavity and unimodality of the sequence.