A353700 Numerator of squared radius of smallest circle passing through exactly n integral points.
1, 25, 1, 625, 25, 138125, 5, 4225, 625, 801125, 25, 1221025, 15625, 105625, 65, 185870425, 4225, 185870425, 625, 29641625, 29641625, 30525625, 325, 17850625, 35409725, 1221025, 15625, 3159797225, 105625, 763140625, 1105, 1346691125
Offset: 2
Examples
For n=3 a minimal circle is (x - 1/6)^2 + (y - 1/6)^2 = 25/18.
Links
- Sean A. Irvine, Java program (github)
- S. S. Lacerda, schinzel.py
- E. Pegg, Lattice Circles
- Jim Randell, A collection of minimal radius lattice circles (github)
- C. Schinzel, Sur l'existence d'un cercle passant par un nombre donné de points aux coordonnées entières, Enseignement Math, vol. 4, pp. 71-72, 1958.
Crossrefs
Denominators are A353701.
Extensions
Data corrected by Sean A. Irvine, Jul 17 2022
a(29)-a(33) from Jim Randell, Jan 10 2023
Comments