On the halves of a Riordan array and their antecedents

2019/06/14 by Barry, Paul
#11C20 #Combinatorics (math.CO) #FOS: Mathematics #Primary 15B36 #Secondary 11B83

paper · doi:10.48550/arxiv.1906.06373

Abstract

Every Riordan array has what we call a horizontal half and a vertical half. These halves of a Riordan array have been studied separately before. Here, we place them in a common context, showing that one may be obtained from the other. We also ask and answer the question: given a Riordan array, when is it the half (either horizontal of vertical) of a Riordan array?

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