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The Log-Behavior of the Partial Sum for the Tribonacci Numbers
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Let {Tn}n ≥ 0 and {Tn[1]}n ≥ 0 denote the tribonacci sequence and the sequence for the partial sum of {Tn}n ≥ 0, respectively. In this paper, we mainly investigate the log-concavity of Tn[1]}n ≥ 1 and the log-balancedness of some sequences involving Tn[1]. In addition, we discuss the monotonicity of some sequences related to Tn[1].
Keywords
Fibonacci Sequence, Tribonacci Sequence, Log-Convexity, Log-Concavity, Log-Balancedness, Monotonicity.
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