Journal of Integer Sequences, Vol. 20 (2017), Article 17.9.3

An Approach to the Construction of Linear Divisibility Sequences of Higher Orders

Tian-Xiao He
Department of Mathematics
Illinois Wesleyan University
Bloomington, IL 61702

Peter J.-S. Shiue
Department of Mathematical Sciences
University of Nevada, Las Vegas
Las Vegas, NV 89154-4020


We present a unified approach to construct divisibility sequences of higher orders by using divisibility sequences of order 2.

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(Concerned with sequence A100047.)

Received March 25 2017; revised versions received April 2 2017; August 26 2017; September 5 2017; September 7 2017. Published in Journal of Integer Sequences, September 8 2017.

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