cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A323063 #19 Jan 04 2019 10:31:30
%S A323063 0,0,0,0,1,21,282,3102,30583,282368,2494567
%N A323063 Coefficients arising in the enumeration of configurations of linear chains.
%C A323063 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.
%C A323063 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.
%C A323063 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).
%H A323063 M. E. Fisher and B. J. Hiley, <a href="http://dx.doi.org/10.1063/1.1731729">Configuration and free energy of a polymer molecule with solvent interaction</a>, J. Chem. Phys., 34 (1961), 1253-1267.
%H A323063 A. M. Nemirovsky, K. F. Freed, T. Ishinabe, and J. F. Douglas, <a href="http://dx.doi.org/10.1007/BF01049010">Marriage of exact enumeration and 1/d expansion methods: lattice model of dilute polymers</a>, J. Statist. Phys., 67 (1992), 1083-1108; see Eq. 5 (p. 1090).
%Y A323063 Cf. A038726, A038729, A038746, A038748, A323037.
%K A323063 nonn,more
%O A323063 1,6
%A A323063 _Petros Hadjicostas_, Jan 03 2019