A generic approach to proving Tur\'an-type inequalities for sequences that admit exact formulas, with an application to unimodal sequences
Abstract
We derive an asymptotic expansion with effective error bound for u(n), counting the number of unimodal sequences of size n. We prove that u(n) satisfies the higher order Tur\'an inequalities for n≥33 and that certain second j-shifted difference of u(n) are positive.
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