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Search: id:A118313
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| A118313 |
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Sum of squared end-to-end distances of the n-step self-avoiding walk on the simple cubic lattice. |
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+0
1
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| 0, 6, 72, 582, 4032, 25556, 153528, 886926, 4983456, 27401502, 148157880, 790096950, 4166321184, 21760624254, 11274379663, 580052260230, 2966294589312, 15087996161382, 76384144381272, 385066579325550
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OFFSET
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0,2
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COMMENT
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Number of walks is A001412(n).
a(5) is 25556 according to MacDonald et al., but 25566 according to Clisby et al., and is therefore conjectural for now. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 31 2007
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LINKS
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D. MacDonald, S. Joseph, D. L. Hunter, L. L. Mosley, N. Jan and A. J. Guttmann, Self-avoiding walks on the simple cubic lattice,J Phys A: Math Gen 33 (2000) No 34, 5973-5983
N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017, Table A5 for n<=30.
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CROSSREFS
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Cf. A001412.
Adjacent sequences: A118310 A118311 A118312 this_sequence A118314 A118315 A118316
Sequence in context: A052615 A052791 A129532 this_sequence A036292 A061690 A133678
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KEYWORD
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nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 14 2006
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