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A268767
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Number of n X n 0..2 arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
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1
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0, 12, 112, 2296, 64112, 3104544, 255353744, 36091542548, 8990276037592, 3911658481295924, 3022669494445395808, 4128305052223833006600, 10045914708457218016317000, 43496963453603913793217952196
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