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A220297 Number of ways to cut a 4 X n rectangle into rectangles with integer sides. 2
1, 8, 148, 3164, 70878, 1613060, 36911922, 846280548, 19415751782, 445550465628, 10225294476962, 234675373081668, 5385967300825942, 123612245431357148, 2837003283963428562, 65111601723938370628, 1494366038587416919782, 34296959750113321113308 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..300

Joshua Smith and Helena Verrill, On dividing rectangles into rectangles

FORMULA

G.f.: see Maple program.

EXAMPLE

a(1) = 8:

._.  ._.  ._.  ._.  ._.  ._.  ._.  ._.

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MAPLE

gf:= (3832*x^6 -8492*x^5 +6722*x^4 -2468*x^3 +441*x^2 -36*x+1) / (11680*x^6 -20980*x^5 +13840*x^4 -4280*x^3 +645*x^2 -44*x+1):

a:= n-> coeff(series(gf, x, n+1), x, n):

seq(a(n), n=0..20);

CROSSREFS

Column m=4 of A116694.

Sequence in context: A279127 A259991 A212732 * A307942 A116876 A218305

Adjacent sequences:  A220294 A220295 A220296 * A220298 A220299 A220300

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 10 2012

STATUS

approved

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Last modified February 24 01:16 EST 2020. Contains 332195 sequences. (Running on oeis4.)