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Coordination sequence for the Manhattan cubic lattice.
1

%I #9 Jun 15 2022 11:36:39

%S 1,3,9,21,42,67,109,145,207,255,337,397,499,571,693,777,919,1015,1177,

%T 1285,1467,1587,1789,1921,2143,2287,2529,2685,2947,3115,3397,3577,

%U 3879,4071,4393,4597,4939,5155,5517,5745,6127,6367,6769,7021,7443,7707,8149,8425

%N Coordination sequence for the Manhattan cubic lattice.

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

%C .---->----.

%C /| /|

%C v | ^ |

%C / v / ^

%C .----<----. |

%C | | | |

%C | .----<|---.

%C ^ / v /

%C | ^ | v

%C |/ |/

%C O---->----.

%H Rémy Sigrist, <a href="/A354961/a354961.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A354961/a354961.txt">C# program</a>

%H <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>

%o (C#) See Links section.

%Y Cf. A005899, A336627 A354957.

%K nonn

%O 0,2

%A _Rémy Sigrist_, Jun 13 2022