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A234393
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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards
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9
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196316, 10683130, 9292808, 585790562, 1687142836, 426876528, 32129615500, 312048302829, 252617381130, 19562241288, 1761338821822, 57796098504371, 153633836957604, 37540308719262, 893326493316, 96553476935058
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OFFSET
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1,1
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COMMENTS
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Table starts
.......196316.........10683130............585790562..............32129615500
......9292808.......1687142836.........312048302829...........57796098504371
....426876528.....252617381130......153633836957604........93663449566825996
..19562241288...37540308719262....74663552616253924....148995535070508548075
.893326493316.5540782611170014.35875918677964045614.233248382982183041074476
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 44]
Empirical for row n:
n=1: [linear recurrence of order 20]
n=2: [order 85]
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EXAMPLE
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Some solutions for n=1 k=4
..0..0..0..1..1..3....0..0..0..0..3..0....0..0..0..1..2..0....0..0..0..1..3..1
..0..0..0..1..0..0....0..0..0..1..0..0....0..0..0..1..0..3....0..0..0..0..1..1
..0..0..0..2..1..0....0..0..0..0..1..2....0..0..0..0..1..1....0..0..0..2..3..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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