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A049230 Configurations of linear chains in a cubic lattice. 2
0, 0, 0, 0, 288, 2112, 11928, 66192, 353544, 1817208, 9092592 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the n-th term of this sequence is C_{n,m} for m=2 (and d=3). Here, C_{n,m} is the total number of configurations "for chains of n links with m nearest-neighbor contacts" in a d-dimensional lattice (with d=3). These numbers appear in Table I (p. 1088). - Petros Hadjicostas, Jan 03 2019

LINKS

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.

CROSSREFS

Cf. A033155, A033323, A034006, A038729.

Sequence in context: A235078 A235072 A235769 * A322677 A235552 A033692

Adjacent sequences:  A049227 A049228 A049229 * A049231 A049232 A049233

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Name edited by Petros Hadjicostas, Jan 03 2019

STATUS

approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)