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A239267 Number of domicule tilings of a 5 X 2n grid. 2
1, 21, 1563, 162409, 17508475, 1894621633, 205109410835, 22206188455913, 2404176415007051, 260291084969169553, 28180738494571199683, 3051022897700513626745, 330322812747235906893563, 35762812820215620676404385, 3871905699058282397207463923 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
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.
LINKS
FORMULA
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).
MAPLE
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);
CROSSREFS
Even bisection of column k=5 of A239264.
Sequence in context: A278323 A301432 A220561 * A258305 A081786 A295414
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Mar 13 2014
STATUS
approved

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Last modified July 18 04:54 EDT 2024. Contains 374377 sequences. (Running on oeis4.)