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

2018/04/18 by Barry, Paul
#11B37 #11B83 #11C20 #15B36 #15B36. Secondary 05A15 #Combinatorics (math.CO) #FOS: Mathematics #Primary 15B36 #Secondary 05A15

paper · doi:10.48550/arxiv.1804.06801

Abstract

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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