%I A007894
%S A007894 1,0,1,1,2,3,6,6,15,17,40,45,89,116,199,271,437,580,924,1205,1812,2385,
%T A007894 3465,4478,6332,8149,11190,14246,19151,24109,31924,39718,51592,63761,
%U A007894 81738,99918,126409,153493,191839,231017,285914,341658,419013
%N A007894 Number of fullerenes with 2n vertices (or carbon atoms).
%C A007894 Enantiomorphic pairs are regarded as the same here. Cf. A057210.
%D A007894 A. T. Balaban, X. Liu, D. J. Klein, D. Babic, T. G. Schmalz, W. A. Seitz 
               and M. Randic, "Graph invariants for fullerenes", J. Chem. Inf. Comput. 
               Sci., vol. 35 (1995) 396-404.
%D A007894 Brinkmann, Gunnar and Dress, Andreas W. M.; A constructive enumeration 
               of fullerenes. J. Algorithms 23 (1997), no. 2, 345-358.
%D A007894 M. Deza, M. Dutour and P. W. Fowler, Zigzags, railroads and knots in 
               fullerenes, J. Chem. Inf. Comput. Sci., 44 (2004), 1282-1293.
%D A007894 J. L. Faulon, D. Visco and D. Roe, Enumerating Molecules, In: Reviews 
               in Computational Chemistry Vol. 21, Ed. K. Lipkowitz, Wiley-VCH, 
               2005.
%D A007894 P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge 
               Univ. Press, 1995, see p. 32.
%D A007894 P. W. Fowler, D. E. Manolopoulos and R. P. Ryan, "Isomerization of fullerenes", 
               Carbon, 30 1235 1992.
%D A007894 A. M. Livshits and Yu. E. Lozovik, Cut-and-unfold approach to Fullerene 
               enumeration, J. Chem. Inf. Comput. Sci., 44 (2004), 1517-1520.
%D A007894 M. Petkovsek and T. Pisanski, Counting disconnected structures: chemical 
               trees, fullerenes, I-graphs and others, Croatica Chem. Acta, 78 (2005), 
               563-567.
%D A007894 A. Milicevic and N. Trinajstic, "Combinatorial Enumeration in Chemistry", 
               Chem. Modell., Vol. 4, (2006), pp. 405-469.
%H A007894 Gunnar Brinkmann, <a href="b007894.txt">Table of n, a(n) for n = 10..100</
               a>
%H A007894 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Fullerene.html">Fullerene</a>
%Y A007894 Cf. A057210.
%Y A007894 Sequence in context: A129648 A129649 A129650 this_sequence A102625 A117777 
               A049297
%Y A007894 Adjacent sequences: A007891 A007892 A007893 this_sequence A007895 A007896 
               A007897
%K A007894 nonn,easy,nice
%O A007894 10,5
%A A007894 Boris Shraiman (boris(AT)physics.att.com), G. Brinkmann (Gunnar.Brinkmann(AT)ugent.be) 
               and A. Dress (dress(AT)mathematik.uni-bielefeld.de)