On Sequences of Squares with Constant Second Differences
Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 481-491
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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.
Mots-clés :
11B83, 11Y85, 11D09, sequence of squares, second difference, elliptic curve
Browkin, J.; Brzeziński, J. On Sequences of Squares with Constant Second Differences. Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 481-491. doi: 10.4153/CMB-2006-047-9
@article{10_4153_CMB_2006_047_9,
author = {Browkin, J. and Brzezi\'nski, J.},
title = {On {Sequences} of {Squares} with {Constant} {Second} {Differences}},
journal = {Canadian mathematical bulletin},
pages = {481--491},
year = {2006},
volume = {49},
number = {4},
doi = {10.4153/CMB-2006-047-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-047-9/}
}
TY - JOUR AU - Browkin, J. AU - Brzeziński, J. TI - On Sequences of Squares with Constant Second Differences JO - Canadian mathematical bulletin PY - 2006 SP - 481 EP - 491 VL - 49 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-047-9/ DO - 10.4153/CMB-2006-047-9 ID - 10_4153_CMB_2006_047_9 ER -
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