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A207090
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Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically
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1
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12, 144, 1117, 10621, 98824, 894720, 8244759, 75709453, 694032466, 6372084456, 58477847273, 536617596113, 4924871267328, 45196366353136, 414774195476647, 3806487479872457, 34932921065290570, 320586783126445036
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OFFSET
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1,1
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COMMENTS
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Row 4 of A207088
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = a(n-1) +28*a(n-2) +344*a(n-3) +816*a(n-4) +1294*a(n-5) -10338*a(n-6) -19356*a(n-7) -50027*a(n-8) +175117*a(n-9) +123758*a(n-10) +709272*a(n-11) -1835144*a(n-12) +318196*a(n-13) -5529708*a(n-14) +11398328*a(n-15) -5985344*a(n-16) +22648164*a(n-17) -37478232*a(n-18) +19283976*a(n-19) -44313168*a(n-20) +60601968*a(n-21) -20512576*a(n-22) +37990000*a(n-23) -47677312*a(n-24) +5766976*a(n-25) -13423872*a(n-26) +20094976*a(n-27) -238592*a(n-28) +1727488*a(n-29) -4091904*a(n-30) +18432*a(n-31) +331776*a(n-33)
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EXAMPLE
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Some solutions for n=4
..0..0..1..1....1..1..0..0....0..1..0..0....1..1..0..1....1..0..0..1
..1..1..1..1....0..0..1..1....0..0..1..0....1..1..0..1....0..1..1..0
..0..1..1..1....1..1..0..0....0..1..0..0....0..1..0..0....1..0..1..1
..0..1..1..0....1..0..0..1....0..0..1..0....0..1..0..0....1..1..1..1
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CROSSREFS
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Sequence in context: A206885 A206890 A188758 * A189259 A189612 A207183
Adjacent sequences: A207087 A207088 A207089 * A207091 A207092 A207093
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Feb 15 2012
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STATUS
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approved
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