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A354957 Coordination sequence for the Manhattan hexagonal lattice with respect to the origin.

%I A354957 #7 Jun 15 2022 11:36:49
%S A354957 1,3,7,14,21,25,35,35,49,45,63,55,77,65,91,75,105,85,119,95,133,105,
%T A354957 147,115,161,125,175,135,189,145,203,155,217,165,231,175,245,185,259,
%U A354957 195,273,205,287,215,301,225,315,235,329,245,343,255,357,265,371,275
%N A354957 Coordination sequence for the Manhattan hexagonal lattice with respect to the origin.
%C A354957 In the Manhattan hexagonal lattice, streets parallel to one of the 3 axis have alternating orientations:
%C A354957                Z         Y
%C A354957                 .---<---.
%C A354957                / \     / \
%C A354957               v   ^   ^   v
%C A354957              /     \ /     \
%C A354957             .--->---O--->---. X
%C A354957              \     / \     /
%C A354957               v   ^   ^   v
%C A354957                \ /     \ /
%C A354957                 .---<---.
%H A354957 Rémy Sigrist, <a href="/A354957/a354957.png">Illustration of initial terms</a>
%H A354957 Rémy Sigrist, <a href="/A354957/a354957.gp.txt">PARI program</a>
%H A354957 <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%H A354957 <a href="/index/Aa#A2">Index entries for sequences related to A2 = hexagonal = triangular lattice</a>
%o A354957 (PARI) See Links section.
%Y A354957 Cf. A008458, A336627, A354958.
%K A354957 nonn
%O A354957 0,2
%A A354957 _Rémy Sigrist_, Jun 13 2022