A049230 Configurations of linear chains in a cubic lattice.

0, 0, 0, 0, 288, 2112, 11928, 66192, 353544, 1817208, 9092592, 44547912, 214532136, 1019264736, 4783813296, 22238211480, 102424615968, 468396156360

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..18.

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

a(12)-a(18) from Sean A. Irvine, Jul 23 2021

Status

approved