Notes on a Family of Riordan Arrays and Associated Integer Hankel Transforms
نویسندگان
چکیده
In this note we explore the properties of a simply defined family of Riordan arrays [9]. The inverses of these arrays are closely related to well-known Catalan-defined matrices. This motivates us to study the Hankel transforms [6] of the images of some well-known families of sequences under the inverse matrices. This follows a general principle which states that the Hankel transform of the images of “simple” sequences under certain Catalan-defined matrices can themselves be “simple” in structure. We give several examples of this phenomenon in this note. Special sequences will be referred to by their A-number in the On-Line Encyclopedia of Integer Sequences, [10].
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