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A220768 Number of tilings of a 2 X n rectangle using integer-sided rectangular tiles of equal area. 2
1, 2, 4, 6, 9, 11, 21, 24, 43, 62, 102, 147, 259, 380, 636, 1003, 1640, 2587, 4258, 6768, 11053, 17740, 28806, 46371, 75318, 121405, 196800, 317874, 514870, 832043, 1347376, 2178312, 3526218, 5703039, 9230054, 14930386, 24162313, 39088172, 63252756, 102334540 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n+1)/a(n) tends to phi = (1+sqrt(5))/2 = A001622. - Vaclav Kotesovec, Dec 21 2012

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

a(5) = 11:

._________. ._________. ._________. ._________. ._________.

|         | |_________| | | | | | | |___| | | | | |___| | |

|_________| |_________| |_|_|_|_|_| |___|_|_|_| |_|___|_|_|

._________. ._________. ._________. ._________. ._________.

| | |___| | | | | |___| |___|___| | |___| |___| | |___|___|

|_|_|___|_| |_|_|_|___| |___|___|_| |___|_|___| |_|___|___|

._________.

|_|_|_|_|_|

|_|_|_|_|_|

CROSSREFS

Column k=2 of A220777.

Sequence in context: A153196 A247185 A237685 * A077220 A128716 A258934

Adjacent sequences:  A220765 A220766 A220767 * A220769 A220770 A220771

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 19 2012

STATUS

approved

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Last modified July 4 10:11 EDT 2022. Contains 355075 sequences. (Running on oeis4.)