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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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참고문헌 (7)
참고문헌 신청
E. Choi / 2017 / Diagonal sums of negative pascal table / JP Journal of Algebra, Number Theory and Applications 39:457~477
V. E. Hoggatt / 1974 / Diagonal sums of the trinomial triangle / Fibo. Quart 12:47~50
K. Kuhapatanakul / 2014 / The generalized tribonacci numbers with negative subscripts / Integers 14:A32
K. Kuhapatanakul / 2014 / n-tribonacci triangles and applications / Int. J. Math. Edu. in Science and Technology 45(7):1068~1113
E. Kilic / 2008 / Tribonacci sequences with certain indices and their sums / Ars. Comb 86:13~22
V. E. Hoggatt / 1974 / Diagonal sums of the trinomial triangle / Fibo. Quart 12:47~50
K. Kuhapatanakul / 2014 / The generalized tribonacci numbers with negative subscripts / Integers 14:A32
K. Kuhapatanakul / 2014 / n-tribonacci triangles and applications / Int. J. Math. Edu. in Science and Technology 45(7):1068~1113
E. Kilic / 2008 / Tribonacci sequences with certain indices and their sums / Ars. Comb 86:13~22
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