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A233218
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Number of 2 X n 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.
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1
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3, 23, 376, 7222, 147019, 3054973, 63927526, 1340889772, 28147567369, 591021089923, 12410898114676, 260625046992322, 5473099292927719, 114934898294104873, 2413631556174561826, 50686253523654314872
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