

A038749


Coefficients arising in the enumeration of configurations of linear chains.


2



0, 0, 0, 2, 16, 96, 510, 2558, 12282, 57498, 263421
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OFFSET

1,4


COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the nth term of this sequence is p_{n,m}^{(l)} with m=1 and l=3. These numbers are given in Table II (p. 1093) in the paper. This sequence can be used for the calculation of sequence A047057 via Eq. (5) in the paper by Nemirovsky et al. (1992). (Note that, by equations (7b) in the paper, p_{n,m=1}^{(1)} = 0 for all n >= 1. Also, p_{n,m=1}^{(2)} = A038747(n) for n >= 1.)  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), 10831108; see Eq. 5 (p. 1090) and Eq. 7b (p. 1093).


CROSSREFS

Cf. A033155, A038747, A047057.
Sequence in context: A295903 A141243 A163229 * A002699 A005058 A082639
Adjacent sequences: A038746 A038747 A038748 * A038750 A038751 A038752


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, May 02 2000


EXTENSIONS

The first three 0's in the sequence were added by Petros Hadjicostas, Jan 04 2019 to make it agree with Table II (p. 1093) and Eq. (5) (p. 1090) in the paper by Nemirovsky et al. (1992).


STATUS

approved



