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A206182
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Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.
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1
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1976, 19688, 205804, 2410188, 30417316, 406202048, 5614757320, 79279051900, 1133551023068, 16329866489724, 236305160608480, 3428820549535568, 49835495378403580, 725069135358564372, 10555976174903018132
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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) = 39*a(n-1) -556*a(n-2) +3335*a(n-3) -3440*a(n-4) -55227*a(n-5) +256962*a(n-6) -264811*a(n-7) -857868*a(n-8) +2548311*a(n-9) -2287027*a(n-10) +1800223*a(n-11) -3079047*a(n-12) -3239297*a(n-13) +15341083*a(n-14) -33571111*a(n-15) +124436023*a(n-16) -246731438*a(n-17) +105761496*a(n-18) +314304308*a(n-19) -483127441*a(n-20) +175692193*a(n-21) +179821750*a(n-22) -267390162*a(n-23) +181386966*a(n-24) -79145409*a(n-25) +21749346*a(n-26) -4085634*a(n-27) +885924*a(n-28) -156240*a(n-29) +6750*a(n-30) for n>31.
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EXAMPLE
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Some solutions for n=4:
..3..1..1....0..3..0....2..2..1....2..2..0....1..2..3....2..2..1....1..0..1
..3..3..1....1..3..3....0..3..2....2..3..0....2..3..1....2..1..1....0..1..2
..1..1..1....2..1..0....0..3..1....0..0..1....1..2..3....1..1..3....1..2..1
..3..3..1....3..1..0....3..3..0....2..1..3....3..0..1....0..1..3....2..3..2
..0..3..1....3..0..0....1..0..1....2..1..2....0..3..0....2..1..0....0..1..3
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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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