

A127406


Number of points in a 2dimensional 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.


8



2, 6, 7, 13, 17, 25, 34, 42, 54, 64, 78, 90, 107, 126, 140, 163, 178, 204, 222, 246
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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: A124319 A325262 A078471 * A092310 A306924 A087376
Adjacent sequences: A127403 A127404 A127405 * A127407 A127408 A127409


KEYWORD

more,nonn


AUTHOR

Hugo Pfoertner, Feb 08 2007


STATUS

approved



