0,2

In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence is C_{n,m} with m=0 (and d=4). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding chain with m neighbor contacts." (For d=2, we have C(n,0) = A173380(n), while for d=3, we have C(n,0) = A174319(n).) - Petros Hadjicostas, Jan 02 2019

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 Table I, p. 1088 (the case d=4).

a(n) = 8 + 48*A038746(n) + 192*A038748(n) + 384*A323037(n). (It can be proved using Eq. (5) in Nemirovsky et al. (1992).) - Petros Hadjicostas, Jan 02 2019

Cf. A038746, A038748, A173380, A174319, A323037.

Sequence in context: A319891 A319872 A215227 * A334333 A307813 A291387

Adjacent sequences: A034003 A034004 A034005 * A034007 A034008 A034009

nonn,walk,more

Name edited by Petros Hadjicostas, Jan 01 2019

Title clarified, a(0), and a(12)-a(16) from Sean A. Irvine, Jul 29 2020

approved