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A239267
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Number of domicule tilings of a 5 X 2n grid.
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2
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1, 21, 1563, 162409, 17508475, 1894621633, 205109410835, 22206188455913, 2404176415007051, 260291084969169553, 28180738494571199683, 3051022897700513626745, 330322812747235906893563, 35762812820215620676404385, 3871905699058282397207463923
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OFFSET
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0,2
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COMMENTS
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A domicule is either a domino or it is formed by the union of two neighboring unit squares connected via their corners. In a tiling the connections of two domicules are allowed to cross each other.
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LINKS
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FORMULA
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G.f.: -(2048*x^7 -7680*x^6 -25472*x^5 +42048*x^4 -18928*x^3 +2912*x^2 -124*x+1) / (16384*x^8 -58112*x^7 -180608*x^6 +352480*x^5 -201552*x^4 +46976*x^3 -4394*x^2 +145*x-1).
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MAPLE
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gf:= -(2048*x^7 -7680*x^6 -25472*x^5 +42048*x^4 -18928*x^3 +2912*x^2 -124*x+1) / (16384*x^8 -58112*x^7 -180608*x^6 +352480*x^5 -201552*x^4 +46976*x^3 -4394*x^2 +145*x-1):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..20);
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CROSSREFS
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Even bisection of column k=5 of A239264.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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