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A067632 n(n+180) is a square. +0
2
-2116, -768, -500, -324, -240, -196, -192, -180, 0, 12, 16, 60, 144, 320, 588, 1936 (list; graph; listen)
OFFSET

0,1

COMMENT

Rewrite it as s^2 - t^2 = 90^2 to see that there are only finitely many solutions.

REFERENCES

Albert H. Beiler, Recreations in the Theory of Numbers (2d ed. 1966), pp. 296, 317.

EXAMPLE

588 is included because 588 * (588 + 180) = 451584, the square root of which is 672.

MAPLE

isolve(n*(n+180)=m^2);

CROSSREFS

Sequence in context: A046334 A046382 A107528 this_sequence A077731 A077733 A031634

Adjacent sequences: A067629 A067630 A067631 this_sequence A067633 A067634 A067635

KEYWORD

sign,fini,full

AUTHOR

Harvey P. Dale (hpd1(AT)nyu.edu), Feb 02 2002

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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