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arxiv: 1906.06373 · v2 · pith:FZAOGLCSnew · submitted 2019-06-14 · 🧮 math.CO

On the halves of a Riordan array and their antecedents

classification 🧮 math.CO
keywords arrayriordanhalfhalveshorizontalverticalanswerantecedents
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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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