A346994 Numerators of the squared radii corresponding to circular disks covering record numbers of grid points A346993 of the square lattice.

0, 1, 1, 1, 5, 25, 2, 5, 169, 65, 17, 169, 5, 25, 13, 29, 5525, 125, 17, 481, 10, 45, 205, 19721, 1189, 25, 13, 338, 29725, 697, 29, 65, 17, 1105, 3445, 18, 4453, 40885, 4625, 481, 20, 85, 12505, 2125, 200, 89, 45, 7921, 425, 89725, 93925, 2405, 2465, 10201, 98345

Offset

1,5

Links

Table of n, a(n) for n=1..55.

Hugo Pfoertner, Visualization of configurations with maximum number of covered grid points.

Example

0/1, 1/4, 1/2, 1/1, 5/4, 25/16, 2/1, 5/2, 169/50, 65/18, 17/4, 169/36, ...
For detailed examples see A346993 and the linked pdf.

Crossrefs

The corresponding denominators are A346995.

Cf. A346993, A123690, A346124, A346784, A346785.

All terms of a(n)/A346995(n) with the sole exception of 1/4 are terms of A192493/A192494.

Sequence in context: A271378 A305837 A175555 * A070387 A331272 A123748

Adjacent sequences: A346991 A346992 A346993 * A346995 A346996 A346997

Keyword

nonn,frac

Author

Hugo Pfoertner, Aug 16 2021

Status

approved