Squares in quadratic progression
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- by R. G. E. Pinch PDF
- Math. Comp. 60 (1993), 841-845 Request permission
Abstract:
The sequence of consecutive integer squares has constant second difference 2. We list every such sequence of squares containing a term less than ${1000^2}$.References
- D. Allison, On square values of quadratics, Math. Proc. Cambridge Philos. Soc. 99 (1986), no. 3, 381–383. MR 830351, DOI 10.1017/S030500410006432X
- Duncan A. Buell, Integer squares with constant second difference, Math. Comp. 49 (1987), no. 180, 635–644. MR 906196, DOI 10.1090/S0025-5718-1987-0906196-9
- R. G. E. Pinch, Simultaneous Pellian equations, Math. Proc. Cambridge Philos. Soc. 103 (1988), no. 1, 35–46. MR 913448, DOI 10.1017/S0305004100064598 —, Square values of quadratic polynomials, (to appear).
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 60 (1993), 841-845
- MSC: Primary 11B83; Secondary 11D25, 11Y50
- DOI: https://doi.org/10.1090/S0025-5718-1993-1181330-X
- MathSciNet review: 1181330