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A269151
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Number of nX7 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.
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1
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5832, 2270592, 642676704, 167970539096, 42119837369168, 10275566914040000, 2456638851763181776, 578202261783376052264, 134401513805944458613328, 30926068491391277680083776, 7056680383368519798619918656
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