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A034006
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Number of n-step self-avoiding walks on the 4-dimensional hypercubic lattice with no non-contiguous adjacencies.
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7
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1, 8, 56, 344, 2120, 12872, 78392, 472952, 2861768, 17223224, 103835096, 623927912, 3753164744, 22526613176, 135308002424, 811435356200, 4868892591752
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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=4). 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), while for d=3, we have C(n,0) = A174319(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,walk,more
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AUTHOR
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EXTENSIONS
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Title clarified, a(0), and a(12)-a(16) from Sean A. Irvine, Jul 29 2020
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STATUS
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approved
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