A323063 Coefficients arising in the enumeration of configurations of linear chains.

0, 0, 0, 0, 1, 21, 282, 3102, 30583, 282368, 2494567

Offset

1,6

Comments

In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence, is equal to p_{n,m}^{(l)} with m = 0 and l = 5.

For a possible interpretation of this sequence (in the context of a 5-dimensional hypercubic lattice), see the comments by Bert Dobbelaere for the sequence A038748 about a cubic lattice.

We have p_{n,0}^{(2)} = A038746(n), p_{n,0}^{(3)} = A038748(n), and p_{n,0}^{(4)} = A323037(n). For p_{n,0}^{(l)} for l = 6..10, see Table II (p. 1094) in the paper by Nemirovsky et al. (1992).

Links

Table of n, a(n) for n=1..11.

M. E. Fisher and B. J. Hiley, Configuration and free energy of a polymer molecule with solvent interaction, J. Chem. Phys., 34 (1961), 1253-1267.

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).

Crossrefs

Cf. A038726, A038729, A038746, A038748, A323037.

Sequence in context: A243421 A028053 A223996 * A028033 A176711 A025987

Adjacent sequences: A323060 A323061 A323062 * A323064 A323065 A323066

Keyword

nonn,more

Author

Petros Hadjicostas, Jan 03 2019

Status

approved