A354961 Coordination sequence for the Manhattan cubic lattice.

1, 3, 9, 21, 42, 67, 109, 145, 207, 255, 337, 397, 499, 571, 693, 777, 919, 1015, 1177, 1285, 1467, 1587, 1789, 1921, 2143, 2287, 2529, 2685, 2947, 3115, 3397, 3577, 3879, 4071, 4393, 4597, 4939, 5155, 5517, 5745, 6127, 6367, 6769, 7021, 7443, 7707, 8149, 8425

Offset

0,2

Comments

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

.---->----.

/| /|

v | ^ |

/ v / ^

.----<----. |

| | | |

| .----<|---.

^ / v /

| ^ | v

|/ |/

O---->----.

Links

Table of n, a(n) for n=0..47.

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, C# program

Index entries for coordination sequences

Prog

(C#) See Links section.

Crossrefs

Cf. A005899, A336627 A354957.

Sequence in context: A374585 A146608 A161214 * A213396 A011843 A080549

Adjacent sequences: A354958 A354959 A354960 * A354962 A354963 A354964

Keyword

nonn

Author

Rémy Sigrist, Jun 13 2022

Status

approved