Journal of Integer Sequences, Vol. 22 (2019), Article 19.2.7

On Properties of the General Bow Sequence

Melissa Dennison
Department of Mathematics
Baldwin Wallace University
Berea, OH 44017


In this paper, we define and study a two-parameter family of recursive sequences, which we call the bow sequences. The general bow sequence is defined similarly to the Stern sequence, and many of the properties of the bow sequences are related to known properties of the Stern sequence. In particular, we focus on common divisors of consecutive terms, maximum values, sums of terms, and generating functions.

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(Concerned with sequences A000045 A002487 A106345 A281185.)

Received December 19 2017; revised versions received December 19 2018; March 24 2019. Published in Journal of Integer Sequences, March 28 2019.

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