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A354957 Coordination sequence for the Manhattan hexagonal lattice with respect to the origin. 3

%I #7 Jun 15 2022 11:36:49

%S 1,3,7,14,21,25,35,35,49,45,63,55,77,65,91,75,105,85,119,95,133,105,

%T 147,115,161,125,175,135,189,145,203,155,217,165,231,175,245,185,259,

%U 195,273,205,287,215,301,225,315,235,329,245,343,255,357,265,371,275

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

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

%C Z Y

%C .---<---.

%C / \ / \

%C v ^ ^ v

%C / \ / \

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

%C \ / \ /

%C v ^ ^ v

%C \ / \ /

%C .---<---.

%H Rémy Sigrist, <a href="/A354957/a354957.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A354957/a354957.gp.txt">PARI program</a>

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

%H <a href="/index/Aa#A2">Index entries for sequences related to A2 = hexagonal = triangular lattice</a>

%o (PARI) See Links section.

%Y Cf. A008458, A336627, A354958.

%K nonn

%O 0,2

%A _Rémy Sigrist_, Jun 13 2022

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Last modified September 2 17:05 EDT 2024. Contains 375614 sequences. (Running on oeis4.)