Closed-form expression for Hankel determinants of the Narayana polynomials

Marko D. Petković; Paul Barry; Predrag Rajković

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Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

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MSC 2010: 11B83, 05A19, 33C45 This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.