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A353701
Denominator of squared radius of smallest circle passing through exactly n integral points.
1
4, 18, 2, 18, 4, 242, 2, 18, 4, 242, 2, 98, 4, 18, 2, 578, 4, 578, 2, 242, 242, 98, 2, 18, 98, 18, 2, 722, 4, 98, 2, 162
OFFSET
2,1
COMMENTS
Schinzel proved such a circle always exists, and the square of the radius of a circle passing through 3 integral points is always rational so the sequence is well-defined.
EXAMPLE
For n=3 a minimal circle is (x - 1/6)^2 + (y - 1/6)^2 = 25/18.
CROSSREFS
Numerators are A353700.
Sequence in context: A077275 A059903 A227540 * A246133 A205014 A204936
KEYWORD
nonn,nice,hard,frac
AUTHOR
Sofia Lacerda, May 04 2022
EXTENSIONS
Data corrected by Sean A. Irvine, Jul 19 2022
a(29)-a(33) from Jim Randell, Jan 10 2023
STATUS
approved