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    Magic Hexagon

    Definition

    A magic hexagon of order n is an arrangement of close-packed hexagons containing the numbers 1, 2, ..., H_(n - 1), where H_n is the nth hex number such that the numbers along each straight line add up to the same sum. (Here, the hex numbers are i.e., 1, 7, 19, 37, 61, 91, 127, ...; OEIS A003215). In the above magic hexagon of order n = 3, each line (those of lengths 3, 4, and 5) adds up to 38.

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