SEQUENTIAL PROPERTIES OVER q-COMMUTING ARITHMETIC TABLES

Let C (q) be the q-commuting arithmetic table of (x + y) n with noncommuting variables. We study sequential properties of diagonal sums of C (q) with various q > 0. One of our results shows that each diagonal sum plays like Fibonacci number with some minor conditions.

1. Introduction

2. Sequential properties on C (q) for q > 0

3. Simplified q-commuting table

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