A127406 Number of points in a 2-dimensional honeycomb net covered by a circular disk of diameter n if the center of the disk is chosen to maximize the number of net points covered by the disk.

2, 6, 7, 13, 17, 25, 34, 42, 54, 64, 78, 90, 107, 126, 140, 163, 178, 204, 222, 246

Offset: 1

Author

Hugo Pfoertner, Feb 08 2007

Keywords

• more
• nonn

Comments

a(n)>= max(A127402(n),A127403(n),A127404(n)). a(n) is an upper limit for the number of path segments in A122223.

Links

• Hugo Pfoertner, Maximal number of points in the honeycomb lattice covered by circular disks. Illustrations.

Crossrefs

Cf. A127402, A127403, A127404, A127405, A122223. The corresponding sequences for the square lattice and hexagonal lattice are A123690 and A125852, respectively.