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Number of side-n hexagonal 0..2 arrays with values nondecreasing E, SW and SE.
1

%I #9 Jun 14 2014 02:39:38

%S 3,53,1211,27768,618013,13312100,278398992,5675814840,113227696037,

%T 2217264763644,42732777814040,812306057415128,15256867582390896,

%U 283555814061437456,5221245121601899736,95350283688266563344

%N Number of side-n hexagonal 0..2 arrays with values nondecreasing E, SW and SE.

%C Column 2 of A216937.

%H R. H. Hardin, <a href="/A216931/b216931.txt">Table of n, a(n) for n = 1..43</a>

%e Some solutions for n=3:

%e ......0.0.0..........0.0.1..........0.0.0..........0.0.1..........0.0.0

%e .....0.0.0.1........0.1.1.1........0.0.0.0........0.0.1.1........0.1.1.2

%e ....0.0.0.1.2......0.1.1.2.2......0.0.0.0.1......0.1.1.1.2......1.1.1.2.2

%e .....1.1.1.2........2.2.2.2........0.0.0.2........1.1.2.2........1.1.2.2

%e ......2.2.2..........2.2.2..........0.0.2..........2.2.2..........1.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 20 2012