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A007894
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Number of fullerenes with 2n vertices (or carbon atoms).
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8
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1, 0, 1, 1, 2, 3, 6, 6, 15, 17, 40, 45, 89, 116, 199, 271, 437, 580, 924, 1205, 1812, 2385, 3465, 4478, 6332, 8149, 11190, 14246, 19151, 24109, 31924, 39718, 51592, 63761, 81738, 99918, 126409, 153493, 191839, 231017, 285914, 341658, 419013
(list; graph; refs; listen; history; internal format)
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OFFSET
| 10,5
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COMMENTS
| Enantiomorphic pairs are regarded as the same here. Cf. A057210.
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REFERENCES
| 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.
Brinkmann, Gunnar and Dress, Andreas W. M.; A constructive enumeration of fullerenes. J. Algorithms 23 (1997), no. 2, 345-358.
M. Deza, M. Dutour and P. W. Fowler, Zigzags, railroads and knots in fullerenes, J. Chem. Inf. Comput. Sci., 44 (2004), 1282-1293.
J. L. Faulon, D. Visco and D. Roe, Enumerating Molecules, In: Reviews in Computational Chemistry Vol. 21, Ed. K. Lipkowitz, Wiley-VCH, 2005.
P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 32.
P. W. Fowler, D. E. Manolopoulos and R. P. Ryan, "Isomerization of fullerenes", Carbon, 30 1235 1992.
A. M. Livshits and Yu. E. Lozovik, Cut-and-unfold approach to Fullerene enumeration, J. Chem. Inf. Comput. Sci., 44 (2004), 1517-1520.
M. Petkovsek and T. Pisanski, Counting disconnected structures: chemical trees, fullerenes, I-graphs and others, Croatica Chem. Acta, 78 (2005), 563-567.
A. Milicevic and N. Trinajstic, "Combinatorial Enumeration in Chemistry", Chem. Modell., Vol. 4, (2006), pp. 405-469.
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LINKS
| Gunnar Brinkmann, Table of n, a(n) for n = 10..100
Eric Weisstein's World of Mathematics, Fullerene
Wikipedia, Fullerene
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CROSSREFS
| Cf. A057210.
Sequence in context: A129648 A129649 A129650 * A102625 A117777 A049297
Adjacent sequences: A007891 A007892 A007893 * A007895 A007896 A007897
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Boris Shraiman (boris(AT)physics.att.com), G. Brinkmann (Gunnar.Brinkmann(AT)ugent.be) and A. Dress (dress(AT)mathematik.uni-bielefeld.de)
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