• East Asian mathematical journal
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• v.36 no.3
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• pp.425-435
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• 2020

We explore the Pauli table C^(-1) and nonzero Pauli table W. Recurrence rules and interrelationships of any k slope diagonal sums over C^(-1) and W are studied in connection with diagonal sums of the Pascal table C⁽¹⁾. Since diagonal sums of C⁽¹⁾ are Fibonacci numbers, any k slope diagonal sums over C^(-1) and W are explained by Fibonacci numbers.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.4
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• pp.475-490
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• 2019

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.