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A211044
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1/3 the number of n X n 0..2 symmetric matrices with every element equal to zero, one, two or three horizontal and vertical neighbors
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1
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1, 9, 216, 15444, 3281472, 2067554808, 3863711228544, 21415460458704264, 352065294244909032696, 17166897737612437082259600, 2482751631736501357900013730432, 1064995044786220639044258688726569096
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