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A211040
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1/3 the number of nXn 0..2 symmetric matrices with every element equal to zero, one or three horizontal and vertical neighbors
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0
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1, 4, 40, 928, 45128, 4945168, 1207742160, 655725571768, 791701825710768, 2127149017683661104, 12717092443922120808584, 169157473880575759274475472, 5006302388939519643670779061032
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