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A233733
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6 and no adjacent elements equal
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10
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40, 148, 148, 556, 756, 556, 2104, 3972, 3972, 2104, 7976, 21432, 29816, 21432, 7976, 30260, 115972, 233432, 233432, 115972, 30260, 114820, 631628, 1851404, 2723072, 1851404, 631628, 114820, 435720, 3435216, 14802604, 32240288, 32240288
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OFFSET
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1,1
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COMMENTS
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Table starts
......40.......148.........556..........2104.............7976
.....148.......756........3972.........21432...........115972
.....556......3972.......29816........233432..........1851404
....2104.....21432......233432.......2723072.........32240288
....7976....115972.....1851404......32240288........578163016
...30260....631628....14802604.....389230764......10577526052
..114820...3435216...118695412....4696134192.....195088215888
..435720..18733728...953471940...57174669348....3616933627344
.1653488.102007004..7663964828..693181060760...67204709367712
.6274804.556289404.61629254552.8455863542400.1250516988640176
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 3*a(n-1) +5*a(n-2) -7*a(n-3) -2*a(n-4)
k=2: [order 12]
k=3: [order 28]
k=4: [order 84]
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EXAMPLE
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Some solutions for n=3 k=4
..2..3..2..3..2....0..2..0..2..0....0..1..0..1..2....0..2..0..1..0
..0..1..3..1..3....1..0..1..0..1....1..3..1..3..1....2..3..2..3..1
..2..0..2..0..1....3..1..3..2..0....0..2..0..2..3....3..1..3..1..0
..3..2..1..2..0....1..0..1..0..1....2..3..2..1..0....1..0..2..0..2
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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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