A346993 Record numbers of grid points in a square lattice covered by a continuously growing circular disk if the center of the disk is chosen to cover the maximum possible number of grid points.

1, 2, 4, 5, 6, 7, 9, 12, 13, 14, 16, 17, 21, 22, 24, 26, 27, 28, 32, 33, 37, 38, 39, 40, 41, 44, 45, 46, 47, 48, 52, 56, 57, 58, 59, 61, 62, 63, 64, 65, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 89, 90, 91, 92, 93, 94, 97, 98, 99, 100, 104, 112, 113

Offset: 1

Author

Hugo Pfoertner, Aug 16 2021

Keywords

• nonn

Examples

			     Diameter  Covered      R^2 =
     of disk   grid        (D/2)^2 =
   n    D      points  A346994(n)/A346995(n)
.
   1 0.00000     1           0   /    1
   2 1.00000     2           1   /    4
   3 1.41421     4           1   /    2
   4 2.00000     5           1   /    1
   5 2.23607     6           5   /    4
   6 2.50000     7          25   /   16
   7 2.82843     9           2   /    1
   8 3.16228    12           5   /    2
   9 3.67696    13         169   /   50
  10 3.80058    14          65   /   18
  11 4.12311    16          17   /    4
  12 4.33333    17         169   /   36
  13 4.47214    21           5   /    1
		

Links

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

Crossrefs

The corresponding squared radii are A346994/A346995.

Cf. A053411, A053414, A053415, A123690, A346124.