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A270053
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Number of nX3 0..4 arrays with some element plus some horizontally or vertically adjacent neighbor totalling four exactly once.
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1
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40, 5400, 385200, 22911300, 1248460920, 64599504300, 3230189811360, 157641639369300, 7554828673749960, 356991331281723900, 16680284779615323120, 772247380917124520100, 35480193258896640581400
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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) = 90*a(n-1) -2257*a(n-2) +10440*a(n-3) -13456*a(n-4) for n>5.
Empirical: g.f. 40*x -180*x^2*(-30+560*x-2395*x^2+2976*x^3) / (116*x^2-45*x+1)^2 . - R. J. Mathar, Mar 09 2016
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EXAMPLE
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Some solutions for n=2
..3..1..4. .1..2..2. .1..1..4. .3..0..2. .2..2..0. .1..4..0. .0..0..1
..4..4..2. .0..0..3. .1..2..2. .2..3..1. .0..0..0. .4..2..0. .3..1..4
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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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