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A208393
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Number of 2 X n 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
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1
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2, 14, 117, 1017, 8838, 76806, 667476, 5800644, 50410008, 438083928, 3807131472, 33085555344, 287527231584, 2498731184736, 21715012867392, 188712490047552, 1639989997584768, 14252194920963456, 123857499353216256
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