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A211085
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1/4 the number of n X n 0..3 symmetric matrices with every element equal to one, two or three horizontal and vertical neighbors
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0
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0, 1, 12, 504, 54552, 18314238, 18001425828, 52877461613730, 461270181887973636, 11975672062199372507844, 924700036496758370728369296
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