A038727 Configurations of linear chains in a 5-dimensional hypercubic lattice

0, 0, 80, 1280, 14320, 148480, 1459840, 13835680, 127784640, 1158460000, 10342876480, 91312921760, 798077066720, 6922857067840

Offset

1,3

Comments

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=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." (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=6, we have C_{n,m=1} = A038745(n). These values appear in Table 1, pp. 1088-1090, of Nemirovsky et al. (1992).) - Petros Hadjicostas, Jan 06 2019

Links

Table of n, a(n) for n=1..14.

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, A038745, A042949, A047057.

Sequence in context: A168364 A296353 A126861 * A204476 A151603 A199533

Adjacent sequences: A038724 A038725 A038726 * A038728 A038729 A038730

Keyword

nonn,more

Author

N. J. A. Sloane, May 02 2000

Extensions

Name was edited by Petros Hadjicostas, Jan 06 2019

Terms a(10) and a(11) were copied from Table I, p. 1090, in Nemirovsky et al. (1992) by Petros Hadjicostas, Jan 06 2019

a(12)-a(14) from Sean A. Irvine, Jan 31 2021

Status

approved