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EXAMPLE
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The a(3) = 4 hexagons with integer coordinates in {1,2,3} have vertices:
(1,1,2), (1,2,3), (2,1,1), (2,3,3), (3,2,1), (3,3,2);
(1,1,2), (1,2,1), (2,1,3), (2,3,1), (3,2,3), (3,3,2);
(1,2,1), (1,3,2), (2,1,1), (2,3,3), (3,1,2), (3,2,3); and
(1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), (3,2,1).
One of the a(5) = 116 hexagons has vertices:
(2,2,1), (1,4,2), (2,5,4), (4,4,5), (5,2,4), (4,1,2).
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