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{\bf David Uminsky and Karen Yeats}
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{\bf Unbounded Regions of Infinitely Logconcave Sequences}
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We study the properties of a logconcavity operator on a symmetric,
unimodal subset of finite sequences. In doing so we are able to prove
that there is a large unbounded region in this subset that is
$\infty$-logconcave. This problem was motivated by the conjecture of
Boros and Moll that the binomial coefficients are
$\infty$-logconcave.
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