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A259297
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111
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9
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10, 26, 26, 66, 94, 66, 170, 322, 322, 170, 434, 1134, 1460, 1134, 434, 1114, 3938, 6870, 6870, 3938, 1114, 2850, 13774, 31774, 43870, 31774, 13774, 2850, 7306, 48002, 148296, 273686, 273686, 148296, 48002, 7306, 18706, 167598, 688966, 1729342
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OFFSET
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1,1
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COMMENTS
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Table starts
....10......26.......66........170..........434..........1114............2850
....26......94......322.......1134.........3938.........13774...........48002
....66.....322.....1460.......6870........31774........148296..........688966
...170....1134.....6870......43870.......273686.......1729342........10862998
...434....3938....31774.....273686......2293928......19528726.......165147350
..1114...13774...148296....1729342.....19528726.....224879224......2569298018
..2850...48002...688966...10862998....165147350....2569298018.....39630793526
..7306..167598..3208946...68457998...1402044186...29500968894....614892766122
.18706..584610.14925572..430748742..11882217182..338055313800...9520588610288
.47930.2040206.69477150.2712658334.100805628896.3878896990174.147638975405998
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1) +4*a(n-2)
k=2: a(n) = 3*a(n-1) +4*a(n-2) -8*a(n-3)
k=3: a(n) = 2*a(n-1) +18*a(n-2) -13*a(n-3) -70*a(n-4) +24*a(n-5) +64*a(n-6)
k=4: [order 9]
k=5: [order 20]
k=6: [order 36]
k=7: [order 72]
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..1..0..0....0..0..1..1..1....0..0..0..0..1....0..1..0..0..0
..1..0..0..1..0....0..1..0..1..0....0..1..0..1..0....1..0..1..0..1
..0..0..1..1..1....1..0..1..1..1....1..1..1..0..1....0..0..0..1..1
..1..0..0..1..0....1..1..0..1..0....0..1..0..0..0....1..0..1..0..1
..0..1..0..0..1....0..1..1..0..1....0..0..1..0..1....0..1..1..1..0
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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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