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.

A019564 Coordination sequence for C_8 lattice.

This page as a plain text file.
%I A019564 #16 Jun 09 2018 06:07:50
%S A019564 1,128,2816,27008,157184,658048,2187520,6140800,15158272,33830016,
%T A019564 69629696,134110592,244396544,425000576,710003968,1145628544,
%U A019564 1793234944,2732779648,4066763520,5924704640
%N A019564 Coordination sequence for C_8 lattice.
%H A019564 Seiichi Manyama, <a href="/A019564/b019564.txt">Table of n, a(n) for n = 0..10000</a>
%H A019564 M. Baake and U. Grimm, <a href="https://arxiv.org/abs/cond-mat/9706122">Coordination sequences for root lattices and related graphs</a>, arXiv:cond-mat/9706122, Zeit. f. Kristallographie, 212 (1997), 253-256.
%H A019564 R. Bacher, P. de la Harpe and B. Venkov, <a href="https://doi.org/10.5802/aif.1689">Séries de croissance et séries d'Ehrhart associées aux réseaux de racines</a>, Annales de l'institut Fourier, Tome 49 (1999) no. 3 , p. 727-762.
%H A019564 R. Bacher, P. de la Harpe and B. Venkov, <a href="https://doi.org/10.1016/S0764-4442(97)83542-2">Séries de croissance et séries d'Ehrhart associées aux réseaux de racines</a>, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
%F A019564 G.f.: (1+120*x+1820*x^2+8008*x^3+12870*x^4+8008*x^5+1820*x^6+120*x^7+x^8)/(1-x)^8 = 1+128*x* (x+1)^2*(x^2+6*x+1)^2/(x-1)^8.
%F A019564 a(n) = A008416(2*n). - _Seiichi Manyama_, Jun 08 2018
%Y A019564 Cf. A008416.
%K A019564 nonn,easy
%O A019564 0,2
%A A019564 mbaake(AT)sunelc3.tphys.physik.uni-tuebingen.de (Michael Baake)