A note on number triangles that are almost their own production matrix
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- 10.48550/arXiv.1804.06801
- arXiv:
- arXiv:1804.06801
- Bibcode:
- 2018arXiv180406801B
- Keywords:
-
- Mathematics - Combinatorics;
- Primary 15B36;
- Secondary 05A15;
- 11C20;
- 11B37;
- 11B83;
- 15B36. Secondary 05A15;
- 11C20;
- 11B37;
- 11B83;
- 15B36
- E-Print:
- 12 pages