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

1,1

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

Table of n, a(n) for n=1..20.

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.

Sequence in context: A325262 A334906 A078471 * A092310 A306924 A087376

Adjacent sequences: A127403 A127404 A127405 * A127407 A127408 A127409

Keyword

more,nonn

Author

Hugo Pfoertner, Feb 08 2007

Status

approved