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A251114
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Number of (n+1) X (1+1) 0..3 arrays with nondecreasing maximum of every two consecutive values in every row and column.
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1
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256, 2500, 22500, 173056, 1252161, 8444836, 54700816, 341067024, 2070978064, 12287279104, 71620999641, 411229777984, 2332755256896, 13098246722500, 72927125108644, 403147286646784, 2215320092092969, 12111576087391236
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 16*a(n-1) -51*a(n-2) -429*a(n-3) +2765*a(n-4) +2887*a(n-5) -49472*a(n-6) +27551*a(n-7) +474394*a(n-8) -614722*a(n-9) -2782958*a(n-10) +4898822*a(n-11) +10501999*a(n-12) -22329850*a(n-13) -25727935*a(n-14) +64110703*a(n-15) +39685329*a(n-16) -118628973*a(n-17) -34454062*a(n-18) +139468939*a(n-19) +9485400*a(n-20) -98917632*a(n-21) +9240912*a(n-22) +37628064*a(n-23) -8055936*a(n-24) -5645376*a(n-25) +1679616*a(n-26).
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EXAMPLE
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Some solutions for n=4
..0..1....2..2....0..1....0..1....2..0....0..0....2..1....2..0....0..2....2..1
..2..1....2..2....0..3....3..0....1..3....2..2....0..1....1..0....0..0....3..2
..2..2....2..0....1..3....3..1....2..3....2..1....2..1....2..0....1..2....3..1
..3..2....2..3....0..3....2..2....0..0....1..3....3..1....2..2....3..3....1..2
..3..1....1..1....3..2....3..3....2..3....3..3....2..3....0..2....3..1....3..3
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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