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A220298 Number of ways to cut a 5 X n rectangle into rectangles with integer sides. 2
1, 16, 650, 31484, 1613060, 84231996, 4427635270, 233276449488, 12300505521832, 648782777031100, 34223109012944482, 1805323555104984956, 95234889270955121716, 5023877415526067785580, 265022449692240368203598, 13980623266954069411358904 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

Joshua Smith and Helena Verrill, On dividing rectangles into rectangles

FORMULA

G.f.: see Maple program.

EXAMPLE

a(1) = 16:

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

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|_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_| |_|

MAPLE

gf:= (39672144*x^10 -110891556*x^9 +124284414*x^8 -74544838*x^7 +26669637*x^6 -5961522*x^5 +841659*x^4 -73608*x^3 +3769*x^2 -100*x+1)/

(135762480*x^10 -326041524*x^9 +320708934*x^8 -170972730*x^7 +54776249*x^6 -11002298*x^5 +1395665*x^4 -109292*x^3 +4975*x^2 -116*x +1):

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

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

CROSSREFS

Column m=5 of A116694.

Sequence in context: A162546 A328274 A249950 * A222916 A197407 A197429

Adjacent sequences:  A220295 A220296 A220297 * A220299 A220300 A220301

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 10 2012

STATUS

approved

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Last modified January 28 03:28 EST 2020. Contains 331314 sequences. (Running on oeis4.)