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A038745
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Configurations of linear chains in a 6-dimensional hypercubic lattice.
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1
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0, 0, 120, 2400, 33960, 441600, 5436960, 64509840, 745845120, 8461348080, 94558053840, 1044594244080, 11426874632880
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OFFSET
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1,3
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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=1 (and d=6). 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,m=1} = A033155(n); for d=3, we have C_{n, m=1} = A047057(n); for d=4, we have C_{n,m=1} = A042949(n); and for d=5, we have C_{n,m=1} = A038727(n). These values appear in Table 1, pp. 1088-1090, of Nemirovsky et al. (1992).) - Petros Hadjicostas, Jan 06 2019
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LINKS
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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a(10)-a(11) copied from Table 1, p. 1090, of Nemirovsky et al. (1992) by Petros Hadjicostas, Jan 06 2019
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STATUS
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approved
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