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A038749 Coefficients arising in the enumeration of configurations of linear chains. 2
0, 0, 0, 2, 16, 96, 510, 2558, 12282, 57498, 263421 (list; graph; refs; listen; history; text; internal format)



In the notation of Nemirovsky et al. (1992), a(n), the n-th 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


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; see Eq. 5 (p. 1090) and Eq. 7b (p. 1093).


Cf. A033155, A038747, A047057.

Sequence in context: A295903 A141243 A163229 * A002699 A005058 A082639

Adjacent sequences:  A038746 A038747 A038748 * A038750 A038751 A038752




N. J. A. Sloane, May 02 2000


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).



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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)