On Properties of the General Bow Sequence
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.
Full version: pdf,
(Concerned with sequences
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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