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

Author

Rémy Sigrist, Jun 13 2022

Keywords

• nonn

Comments

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

.---->----.

/| /|

v | ^ |

/ v / ^

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

| | | |

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

^ / v /

| ^ | v

|/ |/

O---->----.

Links

• Rémy Sigrist, Illustration of initial terms
• Rémy Sigrist, C# program
• Index entries for coordination sequences

Crossrefs

Cf. A005899, A336627 A354957.