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On Sequences of Squares with Constant Second Differences

  Published:2006-12-01
 Printed: Dec 2006
  • J. Browkin
  • J. Brzeziński
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Abstract

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: sequence of squares, second difference, elliptic curve sequence of squares, second difference, elliptic curve
MSC Classifications: 11B83, 11Y85, 11D09 show english descriptions Special sequences and polynomials
unknown classification 11Y85
Quadratic and bilinear equations
11B83 - Special sequences and polynomials
11Y85 - unknown classification 11Y85
11D09 - Quadratic and bilinear equations
 

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