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A260549
Primitive values n such that the square with opposite corners (0,0) and (n,n) contains a point (x,y) with integer coordinates, with 0 < x,y < n, at an integer distance from three of the four corners.
2
52, 195, 700, 740, 867, 996, 1443, 2145, 3364, 6015, 6240, 7800, 8400, 9165, 9375, 10879, 10952, 11184, 11352, 11484, 11492, 11997, 12675, 13156, 14355, 14739, 20280, 20415, 20625, 20988, 21125, 21320, 21853, 22472, 23069, 26180, 26588, 27189, 28168, 30195
OFFSET
1,1
COMMENTS
Primitiveness condition prescribes that, if n is in the sequence because of the interior point (x, y), then GCD(x, y, n) = 1.
Some values admit more than one qualifying interior point. For example, for n = 21125 we have both (4416, 3737) and (8357, 7524).
This sequence is a superset of A215365, which only contains even values.
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..75 (terms < 130000)
EXAMPLE
700 is in the sequence because the point (304,297) is at distance 425 from (0,0), 495 from (700,0) and 565 from (700,700) and GCD(700,304,297) = 1.
CROSSREFS
Cf. A215365.
Sequence in context: A166390 A161478 A288919 * A211564 A346825 A346858
KEYWORD
nonn
AUTHOR
STATUS
approved