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A269147
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Number of nX3 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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24, 768, 13904, 220968, 3277728, 46576336, 642676704, 8680278136, 115349343264, 1513379596864, 19651887694240, 253030595298696, 3234828051983328, 41105657832397744, 519625334069189984, 6539008095907322520
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