Korean J. Math. Vol. 27 No. 3 (2019) pp.723-734
DOI: https://doi.org/10.11568/kjm.2019.27.3.723

Diagonal sums in negative trinomial table

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Published: Sep 30, 2019
Keywords:
trinomial table, tribonacci sequence, diagonal sum
Mathematics Subject Classification:
05A10, 11R11

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Eunmi Choi
Department of Mathematics Hannam University Daejon, Korea
Yuna Oh
Department of Mathematics Hannam University Daejon, Korea

Abstract

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 $T$.


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References

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