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

Eunmi Choi, Yuna Oh

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 $T$.

Keywords


trinomial table, tribonacci sequence, diagonal sum

Subject classification

05A10, 11R11

Sponsor(s)



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References


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