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A233491
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Number of (n+2)X(2+2) 0..2 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards
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1
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388908, 26851581, 1853443458, 127934319483, 8830686982464, 609539583118581, 42073567268258250, 2904134713566546240, 200458363340939984253, 13836670608153772979775, 955078402954534730110719
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