A323037 Coefficients arising in the enumeration of configurations of linear chains.

0, 0, 0, 1, 13, 114, 849, 5842, 38174, 242737, 1511046

Offset: 1

Author

Petros Hadjicostas, Jan 02 2019

Keywords

• nonn
• more

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 = 4. This sequence appears in Table II, p. 1094 in the paper. (We have p_{n,0}^{(2)} = A038746(n) and p_{n,0}^{(3)} = A038748(n).)

Links

• 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. A034006, A038746, A038748, A323063.