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On Sequences of Squares with Constant Second Differences

Published online by Cambridge University Press:  20 November 2018

J. Browkin  and
J. Brzeziński
J. Browkin
Affiliation:
Institute of Mathematics, University of Warsaw, ul. Banacha 2, PL-02-097 Warsaw, Poland e-mail: bro@mimuw.edu.pl
J. Brzeziński
Affiliation:
Department of Mathematics, Chalmers University of Technology, and Göteborg University, S-41296 Göteborg, Sweden e-mail: jub@math.chalmers.se
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Abstract

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The aim of this paper is to study sequences of integers for which the second differences between their squares are constant. We show that there are infinitely many nontrivial monotone sextuples having this property and discuss some related problems.

Keywords

11B8311Y8511D09sequence of squaressecond differenceelliptic curve
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 4 , 01 December 2006 , pp. 481 - 491
Copyright
Copyright © Canadian Mathematical Society 2006

References

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