%I A144222
%S A144222 4,6,7,9,10,11,13,14,15,17,18,19,21,22,23,24
%N A144222 Floor of the volumes of the first sixteen Lobell polyhedra.
%C A144222 This article defines a pair of combinatorial operations on the combinatorial 
               structure of compact right-angled hyperbolic polyhedra in dimension 
               three called decomposition and edge surgery. It is shown that these 
               operations simplify the combinatorics of such a polyhedron, while 
               keeping it within the class of right-angled objects, until it is 
               a disjoint union of Lobell polyhedra, a class of polyhedra which 
               generalizes the dodecahedron. Furthermore, these combinatorial operations 
               are shown to have geometric realizations which are volume decreasing. 
               This allows for an organization of the volumes of right-angled hyperbolic 
               polyhedra and allows, in particular, the determination of the polyhedra 
               with smallest and second-smallest volumes.
%H A144222 Taiyo Inoue, <a href="http://arxiv.org/PS_cache/arxiv/pdf/0809/0809.2111v1.pdf">
               Organizing Volumes of Right-Angled Hyperbolic Polyhedra</a>, Sep 
               11, 2008.
%F A144222 a(n) = Floor[vol(L(n))].
%e A144222 n..|.vol(L(n))
%e A144222 ==============
%e A144222 5..|.4.306....
%e A144222 6..|.6.023....
%e A144222 7..|.7.563....
%e A144222 8..|.9.019....
%e A144222 9..|10.426....
%e A144222 10.|11.801....
%e A144222 11.|13.156....
%e A144222 12.|14.494....
%e A144222 13.|15.822....
%e A144222 14.|17.140....
%e A144222 15.|18.452....
%e A144222 16.|19.758....
%e A144222 17.|21.059....
%e A144222 18.|22.356....
%e A144222 19.|23.651....
%e A144222 20.|24.943....
%e A144222 ==============
%Y A144222 Sequence in context: A024555 A001690 A105447 this_sequence A010414 A095096 
               A104425
%Y A144222 Adjacent sequences: A144219 A144220 A144221 this_sequence A144223 A144224 
               A144225
%K A144222 nonn
%O A144222 5,1
%A A144222 Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 14 2008