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

0,2

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

Table of n, a(n) for n=0..55.

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A008458, A336627, A354958.

Sequence in context: A361799 A310276 A310277 * A161210 A256059 A347349

Adjacent sequences: A354954 A354955 A354956 * A354958 A354959 A354960

Keyword

nonn

Author

Rémy Sigrist, Jun 13 2022

Status

approved