A354957 Coordination sequence for the Manhattan hexagonal lattice with respect to the origin.

1, 3, 7, 14, 21, 25, 35, 35, 49, 45, 63, 55, 77, 65, 91, 75, 105, 85, 119, 95, 133, 105, 147, 115, 161, 125, 175, 135, 189, 145, 203, 155, 217, 165, 231, 175, 245, 185, 259, 195, 273, 205, 287, 215, 301, 225, 315, 235, 329, 245, 343, 255, 357, 265, 371, 275

Offset: 0

Author

Rémy Sigrist, Jun 13 2022

Keywords

• nonn

Comments

In the Manhattan hexagonal lattice, streets parallel to one of the 3 axis have alternating orientations:

Z Y

.---<---.

/ \ / \

v ^ ^ v

/ \ / \

.--->---O--->---. X

\ / \ /

v ^ ^ v

\ / \ /

.---<---.

Links

• Rémy Sigrist, Illustration of initial terms
• Rémy Sigrist, PARI program
• Index entries for coordination sequences
• Index entries for sequences related to A2 = hexagonal = triangular lattice

Crossrefs

Cf. A008458, A336627, A354958.

Programs

PARI

See Links section.