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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

Alois P. Heinz, Table of n, a(n) for n = 0..450

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

Adjacent sequences:  A239264 A239265 A239266 * A239268 A239269 A239270

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Mar 13 2014

STATUS

approved

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Last modified August 11 20:13 EDT 2022. Contains 356067 sequences. (Running on oeis4.)