• Korean Journal of Mathematics
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• v.27 no.3
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• pp.723-734
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• 2019

We study the negative trinomial table T' of $(x^2+x+1)^{-n}$ and its t/u-slope diagonals for any t, u > 0. We investigate recurrence formula of the t/u-slope diagonal sums of T' and find interrelationships with t/u-slope diagonal sums of the trinomial table T.

• Honam Mathematical Journal
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• v.42 no.1
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• pp.1-15
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• 2020

In this work we investigate interrelationships between two arithmetic tables of (cx² + x + 1)^±m. It would give a way to expand (cx²+x+1)^-m by means of the coefficients of (x²+x+1)^m.