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A253857
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Number of (n+2) X (2+2) 0..1 arrays with every 3 X 3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically.
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1
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3264, 30848, 291392, 2654464, 22951616, 196953728, 1698464064, 14584992256, 125182611904, 1074628170624, 9217329596480, 79050564905728, 678127033451712, 5816974582413440, 49896386833688384, 428003374084414464
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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) = 14*a(n-1) -46*a(n-2) -42*a(n-3) +624*a(n-4) -4070*a(n-5) +23726*a(n-6) -143310*a(n-7) +364913*a(n-8) +1129936*a(n-9) -6925152*a(n-10) +15765760*a(n-11) -48494080*a(n-12) +157092864*a(n-13) -333556224*a(n-14) +23502848*a(n-15) +1872896000*a(n-16) -4361814016*a(n-17) +12360941568*a(n-18) -45439909888*a(n-19) +98790080512*a(n-20) -104990769152*a(n-21) -49694113792*a(n-22) +350694146048*a(n-23) -1042871746560*a(n-24) +3605625044992*a(n-25) -7769595838464*a(n-26) +8796093022208*a(n-27) -4947802324992*a(n-28) +1099511627776*a(n-29).
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EXAMPLE
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Some solutions for n=2
..1..0..0..0....1..0..1..1....0..1..0..1....1..1..1..0....0..1..1..1
..1..0..0..1....0..1..1..1....1..0..0..0....0..1..1..0....1..1..1..0
..1..0..1..1....1..1..1..0....1..0..0..1....0..1..0..1....0..0..0..1
..0..1..1..0....1..1..0..0....1..0..0..1....0..1..1..0....1..0..1..1
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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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