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A042949 Configurations of linear chains in a 4-dimensional hypercubic lattice. 4
0, 0, 48, 576, 4752, 36864, 271680, 1931808, 13384320, 91133664, 610863072 (list; graph; refs; listen; history; text; internal format)
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=4). 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) while for d=3, we have C_{n,m=1}=A047057(n).) These numbers are given in Table I (p. 1088) in the paper by Nemirovsky et al. (1992). - Petros Hadjicostas, Jan 04 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, A047057.

Sequence in context: A266210 A245953 A192832 * A190601 A179404 A171343

Adjacent sequences:  A042946 A042947 A042948 * A042950 A042951 A042952

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

Name edited by Petros Hadjicostas, Jan 04 2019

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)