A354958 Coordination sequence for the Manhattan hexagonal lattice with respect to the point (X=0, Y=1).

1, 3, 9, 15, 27, 21, 45, 27, 63, 33, 81, 39, 99, 45, 117, 51, 135, 57, 153, 63, 171, 69, 189, 75, 207, 81, 225, 87, 243, 93, 261, 99, 279, 105, 297, 111, 315, 117, 333, 123, 351, 129, 369, 135, 387, 141, 405, 147, 423, 153, 441, 159, 459, 165, 477, 171, 495

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..56.

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, A354957.

Sequence in context: A138495 A055927 A316261 * A249734 A319316 A087031

Adjacent sequences: A354955 A354956 A354957 * A354959 A354960 A354961

Keyword

nonn

Author

Rémy Sigrist, Jun 13 2022

Status

approved