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A284224
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Number of 3 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
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1
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4, 19, 70, 499, 3214, 22729, 163708, 1209005, 9018250, 67956917, 515031078, 3926103884, 30049105764, 230871573750, 1779036977175, 13746097605518, 106448904000193, 826010061981163, 6420762665883318, 49989175241774203
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