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A038728 Configurations of linear chains in a 5-dimensional hypercubic lattice. 1
0, 0, 0, 0, 2240, 35840, 433040, 4862560, 51759280, 527313040, 5218528800 (list; graph; refs; listen; history; text; internal format)



In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence is C_{n,m} with m=2 (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." (Let n >= 1. For d=2, we have C(n,m=2) = A033323(n); for d=3, we have C(n,m=2) = A049230(n); and for d=4, we have C(n,m=2) = A046788(n).) - Petros Hadjicostas, Jan 05 2019


Table of n, a(n) for n=1..11.

A. M. Nemirovsky, K. F. Freed, T. Ishinabe, and J. F. Douglas, Marriage of exact enumeration and 1/d expansion methods: lattice model of dilute polymers, J. Statist. Phys., 67 (1992), 1083-1108; see Table 1 on p. 1090.


Cf. A033323, A046788, A049230.

Sequence in context: A289454 A079013 A186865 * A002520 A183771 A271470

Adjacent sequences:  A038725 A038726 A038727 * A038729 A038730 A038731




N. J. A. Sloane, May 02 2000


Terms a(10) and a(11) were copied from Table 1 (p. 1090) of Nemirovsky et al. (1992) by Petros Hadjicostas, Jan 05 2019

Name edited by Petros Hadjicostas, Jan 05 2019



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Last modified December 11 07:47 EST 2019. Contains 329914 sequences. (Running on oeis4.)