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A237565
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Number of (n+1)X(6+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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1
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78144, 848720, 10006572, 126608036, 1518590620, 18615658788, 228407442348, 2815624842216, 34622654326396, 426711928933956, 5256027075309008, 64952936868637728, 801390531899833876, 9893047120797868268
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