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.

A046788 Configurations of linear chains in a 4-dimensional hypercubic lattice.

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%I A046788 #26 Apr 24 2021 21:49:26
%S A046788 0,0,0,0,960,11136,98256,820896,6523248,49672560,367817184,2663082864,
%T A046788 18939278736,132735870240,918669297696
%N A046788 Configurations of linear chains in a 4-dimensional hypercubic lattice.
%C A046788 In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence is C_{n,m} with m=2 (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." (Let n >= 1. For d=2, we have C(n,m=2) = A033323(n); for d=3, we have C(n,m=2) = A049230(n); and for d=5, we have C(n,m=2) = A038728(n).) - _Petros Hadjicostas_, Jan 05 2019
%H A046788 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 Table 1 on p. 1088.
%F A046788 Cf. A033323, A038728, A049230.
%K A046788 nonn,more
%O A046788 1,5
%A A046788 _N. J. A. Sloane_
%E A046788 Name edited by _Petros Hadjicostas_, Jan 05 2019
%E A046788 a(12)-a(15) from _Sean A. Irvine_, Apr 24 2021