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

%I A354958 #7 Jun 15 2022 11:36:44
%S A354958 1,3,9,15,27,21,45,27,63,33,81,39,99,45,117,51,135,57,153,63,171,69,
%T A354958 189,75,207,81,225,87,243,93,261,99,279,105,297,111,315,117,333,123,
%U A354958 351,129,369,135,387,141,405,147,423,153,441,159,459,165,477,171,495
%N A354958 Coordination sequence for the Manhattan hexagonal lattice with respect to the point (X=0, Y=1).
%C A354958 In the Manhattan hexagonal lattice, streets parallel to one of the 3 axis have alternating orientations:
%C A354958                Z         Y
%C A354958                 .---<---.
%C A354958                / \     / \
%C A354958               v   ^   ^   v
%C A354958              /     \ /     \
%C A354958             .--->---O--->---. X
%C A354958              \     / \     /
%C A354958               v   ^   ^   v
%C A354958                \ /     \ /
%C A354958                 .---<---.
%H A354958 Rémy Sigrist, <a href="/A354958/a354958.png">Illustration of initial terms</a>
%H A354958 Rémy Sigrist, <a href="/A354958/a354958.gp.txt">PARI program</a>
%H A354958 <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%H A354958 <a href="/index/Aa#A2">Index entries for sequences related to A2 = hexagonal = triangular lattice</a>
%o A354958 (PARI) See Links section.
%Y A354958 Cf. A008458, A336627, A354957.
%K A354958 nonn
%O A354958 0,2
%A A354958 _Rémy Sigrist_, Jun 13 2022