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A232497
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Number of tilings of a 4 X n rectangle using L and Z tetrominoes.
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8
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1, 0, 2, 6, 14, 32, 102, 238, 652, 1696, 4480, 11658, 30870, 80644, 212292, 556858, 1463390, 3840686, 10090218, 26490280, 69575414, 182693434, 479789138, 1259906496, 3308668718, 8688615148, 22817011182, 59918425698, 157349755400, 413208421354, 1085110433096
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: -(x^6-x^5-2*x^4+x^3+3*x^2-1) / (2*x^12 +4*x^10 +6*x^8 +6*x^7 +13*x^6 +13*x^5 -2*x^4 -7*x^3 -5*x^2+1).
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EXAMPLE
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a(3) = 6:
._._._. ._._._. ._._._. ._._._. ._._._. ._._._.
| .___| |___. | | |_. | | ._| | | .___| |___. |
|_| ._| |_. |_| |_. | | | | ._| |_| | | | | |_|
|___| | | |___| | |_|_| |_|_| | | ._| | | |_. |
|_____| |_____| |_____| |_____| |_|___| |___|_|.
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MAPLE
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a:= n-> coeff(series(-(x^6-x^5-2*x^4+x^3+3*x^2-1)/
(2*x^12+4*x^10+6*x^8+6*x^7+13*x^6+13*x^5-2*x^4-7*x^3-5*x^2+1),
x, n+1), x, n);
seq(a(n), n=0..40);
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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