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A354961 Coordination sequence for the Manhattan cubic lattice.

%I A354961 #9 Jun 15 2022 11:36:39
%S A354961 1,3,9,21,42,67,109,145,207,255,337,397,499,571,693,777,919,1015,1177,
%T A354961 1285,1467,1587,1789,1921,2143,2287,2529,2685,2947,3115,3397,3577,
%U A354961 3879,4071,4393,4597,4939,5155,5517,5745,6127,6367,6769,7021,7443,7707,8149,8425
%N A354961 Coordination sequence for the Manhattan cubic lattice.
%C A354961 In the Manhattan cubic lattice, streets parallel to one of the 3 axis have alternating orientations:
%C A354961                       .---->----.
%C A354961                      /|        /|
%C A354961                     v |       ^ |
%C A354961                    /  v      /  ^
%C A354961                   .----<----.   |
%C A354961                   |   |     |   |
%C A354961                   |   .----<|---.
%C A354961                   ^  /      v  /
%C A354961                   | ^       | v
%C A354961                   |/        |/
%C A354961                   O---->----.
%H A354961 Rémy Sigrist, <a href="/A354961/a354961.png">Illustration of initial terms</a>
%H A354961 Rémy Sigrist, <a href="/A354961/a354961.txt">C# program</a>
%H A354961 <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%o A354961 (C#) See Links section.
%Y A354961 Cf. A005899, A336627 A354957.
%K A354961 nonn
%O A354961 0,2
%A A354961 _Rémy Sigrist_, Jun 13 2022