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A038726
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The number of n-step self-avoiding walks in a 5-dimensional hypercubic lattice with no non-contiguous adjacencies.
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3
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1, 10, 90, 730, 5930, 47690, 384090, 3075610, 24663210, 197117210, 1576845050, 12589411530, 100567197770, 802350892730, 6403639865530
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OFFSET
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0,2
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COMMENTS
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In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence is C_{n,m} with m=0 (and d=5). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding chain with m neighbor contacts." (For d=2, we have C(n,0) = A173380(n); for d=3, we have C(n,0) = A174319(n); and for d=4, we have C(n,0) = A034006(n).) - Petros Hadjicostas, Jan 02 2019
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,more,walk
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AUTHOR
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EXTENSIONS
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Title clarified, a(0), and a(12)-a(14) from Sean A. Irvine, Jul 29 2020
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STATUS
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approved
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