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A038579
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Number of self-avoiding closed walks from 0 of area n in strip Z X {0,1,2}.
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0
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1, 4, 10, 28, 64, 140, 304, 640, 1326, 2716, 5502, 11052, 22044, 43700, 86180, 169184, 330810, 644564, 1251954, 2424860, 4684696, 9029756, 17368408, 33343520, 63899686, 122259372, 233568998, 445600236, 849014964, 1615709156, 3071307852
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| J. Labelle, Self-avoiding walks and polyominoes in strips, Bull. ICA, 23 (1998), 88-98.
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FORMULA
| G.f.= 2(1+2x^3+2x^4)/(1-x-x^2-x^3)^2-1 [Labelle] - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2004
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MATHEMATICA
| CoefficientList[ Series[(2 + 4 x^3 + 4 x^4)/(1 - x - x^2 - x^3)^2 - 1, {x, 0, 28}], x]
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CROSSREFS
| Cf. A022445, A038578.
Sequence in context: A032248 A092504 A034920 * A133726 A026534 A203293
Adjacent sequences: A038576 A038577 A038578 * A038580 A038581 A038582
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KEYWORD
| nonn,walk,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2004
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