The Journal of the Indian Mathematical Society

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The Log-Behavior of the Partial Sum for the Tribonacci Numbers


Affiliations
  • Shanghai University, Department of Mathematics, China
     

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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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  • The Log-Behavior of the Partial Sum for the Tribonacci Numbers

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Authors

Feng-Zhen Zhao
, China

Abstract


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.

References