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A233289
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Number of tilings of a 3 X 3 X n box using 3n bricks of shape 3 X 1 X 1.
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6
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1, 2, 4, 21, 92, 320, 1213, 4822, 18556, 70929, 273808, 1057020, 4069737, 15676666, 60424640, 232846801, 897164316, 3457096532, 13321674833, 51332757274, 197801848744, 762200458321, 2937024077340, 11317358546188, 43609682555721, 168043191679374
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OFFSET
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0,2
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COMMENTS
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This is a variant of the Jenga game (see link).
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (3,0,13,2,-11,-7,4,-3,1,-1)
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FORMULA
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G.f.: (x^7 -x^6 +x^5 -x^4 +4*x^3 +2*x^2 +x -1) / (-x^10 +x^9 -3*x^8 +4*x^7 -7*x^6 -11*x^5 +2*x^4 +13*x^3 +3*x -1).
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MAPLE
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gf:= (x^7-x^6+x^5-x^4+4*x^3+2*x^2+x-1)/(-x^10+x^9
-3*x^8+4*x^7-7*x^6-11*x^5+2*x^4+13*x^3+3*x-1):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..30);
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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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