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%I #25 Feb 01 2021 05:03:09
%S 12,132,1332,13452,134892,1353732,13536612,135457932,1352852292,
%T 13517235732,134908128732,1346796414252,13435850843172
%N Configurations of linear chains in a 6-dimensional hypercubic lattice.
%C 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=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,0) = A173380(n); for d=3, we have C(n,0) = A174319(n); for d=4, we have C(n,0) = A034006(n); and for d=5, we have C(n,0) = A038726(n).) - _Petros Hadjicostas_, Jan 03 2019
%H M. E. Fisher and B. J. Hiley, <a href="http://dx.doi.org/10.1063/1.1731729">Configuration and free energy of a polymer molecule with solvent interaction</a>, J. Chem. Phys., 34 (1961), 1253-1267.
%H A. M. Nemirovsky, K. F. Freed, T. Ishinabe, and J. F. Douglas, <a href="http://dx.doi.org/10.1007/BF01049010">Marriage of exact enumeration and 1/d expansion methods: lattice model of dilute polymers</a>, J. Statist. Phys., 67 (1992), 1083-1108; see Eq. 5 (p. 1090) and Table 1 (p. 1090).
%Y Cf. A002932, A002934, A034006, A038726, A173380, A174313, A174319.
%K nonn,more
%O 1,1
%A _N. J. A. Sloane_, May 02 2000
%E Terms a(10) and a(11) were copied from Table 1 (p. 1090) in the paper by Nemirovsky et al. (1992) by _Petros Hadjicostas_, Jan 03 2019
%E Name edited by _Petros Hadjicostas_, Jan 03 2019
%E a(12)-a(13) from _Sean A. Irvine_, Feb 01 2021
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