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A067632
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n(n+180) is a square.
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1
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-2116, -768, -500, -324, -240, -196, -192, -180, 0, 12, 16, 60, 144, 320, 588, 1936
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Rewrite it as s^2 - t^2 = 90^2 to see that there are only finitely many solutions.
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REFERENCES
| Albert H. Beiler, Recreations in the Theory of Numbers (2d ed. 1966), pp. 296, 317.
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EXAMPLE
| 588 is included because 588 * (588 + 180) = 451584, the square root of which is 672.
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MAPLE
| isolve(n*(n+180)=m^2);
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CROSSREFS
| Sequence in context: A046382 A168662 A107528 * A077731 A077733 A031634
Adjacent sequences: A067629 A067630 A067631 * A067633 A067634 A067635
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KEYWORD
| sign,fini,full
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AUTHOR
| Harvey P. Dale (hpd1(AT)nyu.edu), Feb 02 2002
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