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Search: id:A022444
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| A022444 |
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Number of self-avoiding closed walks (from 0 to 0) of length 2n in strip {-1, 0, 1} X Z. |
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+0
2
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| 1, 0, 8, 16, 44, 112, 252, 564, 1276, 2840, 6220, 13532, 29292, 63024, 134876, 287428
(list; graph; listen)
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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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FORMULA
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G.f.: [ -12x^7+16x^6-36x^5+37x^4-24x^3+14x^2-4x+1]/[(1+x^2)^2(1-2x)^2] (conjectured).
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CROSSREFS
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Sequence in context: A052207 A038578 A155110 this_sequence A089828 A159038 A166638
Adjacent sequences: A022441 A022442 A022443 this_sequence A022445 A022446 A022447
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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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