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arxiv: 1804.06801 · v1 · pith:I6WIM3GHnew · submitted 2018-04-18 · 🧮 math.CO

A note on number triangles that are almost their own production matrix

classification 🧮 math.CO
keywords numbertrianglesproductionalmostcharacterizecloselycombinatorialcontinued
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We characterize a family of number triangles whose production matrices are closely related to the original number triangle. We study a number of such triangles that are of combinatorial significance. For a specific subfamily, these triangles relate to sequences that have interesting convolution recurrences and continued fraction generating functions.

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