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A022445
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Number of self-avoiding closed walks (from 0 to 0) of length 2n in the strip {0, 1, 2} X Z of the square lattice Z X Z.
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2
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1, 0, 4, 10, 34, 94, 222, 516, 1202, 2738, 6110, 13496, 29586, 64350, 139006, 298636, 638578, 1359754, 2884638, 6099552, 12859730, 27040694, 56723774, 118732340, 248034354, 517208034, 1076694622, 2237946376, 4645007122
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OFFSET
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0,3
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REFERENCES
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J. Labelle, Self-avoiding walks and polyominoes in strips, Bull. ICA, 23 (1998), 88-98.
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LINKS
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FORMULA
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G.f.: (-6*x^7+10*x^6-18*x^5+27*x^4-14*x^3+10*x^2-4*x+1) / ((1+x^2)^2*(1-2*x)^2) (conjectured). - Ralf Stephan, Apr 28 2004
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CROSSREFS
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KEYWORD
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nonn,walk,easy
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AUTHOR
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Jacques Labelle (labelle.jacques(AT)uqam.ca)
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EXTENSIONS
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STATUS
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approved
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