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A201502
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Number of nX7 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
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1
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2, 4, 20, 24, 98, 94, 338, 289, 936, 734, 2234, 1656, 4770, 3370, 9344, 6375, 17100, 11322, 29600, 19138, 48920, 30982, 77764, 48417, 119558, 73316, 178582, 108108, 260106, 155646, 370516, 219489, 517470, 303748, 710068, 413442, 959000, 554256
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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) = a(n-1) +2*a(n-2) -3*a(n-3) +a(n-4) +2*a(n-5) -4*a(n-6) +2*a(n-7) +2*a(n-8) -4*a(n-9) +a(n-10) +3*a(n-11) -3*a(n-12) +a(n-14) -a(n-15) +2*a(n-16) -a(n-17) +a(n-19) -a(n-20) +a(n-22) -a(n-23) +a(n-25) -2*a(n-26) +a(n-27) -a(n-28) +3*a(n-30) -3*a(n-31) -a(n-32) +4*a(n-33) -2*a(n-34) -2*a(n-35) +4*a(n-36) -2*a(n-37) -a(n-38) +3*a(n-39) -2*a(n-40) -a(n-41) +a(n-42)
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EXAMPLE
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Some solutions for n=4
..0..0..0..0..0..0..1....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..0..0..0..0..0..1....0..0..0..0..1..1..1....0..0..0..0..1..1..1
..0..1..1..1..1..1..1....0..0..1..1..1..1..1....0..0..0..1..1..1..1
..0..1..1..1..1..1..1....0..0..1..1..1..1..1....1..1..1..1..1..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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