A046880 Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).

1, 0, 0, 0, 0, 1, 1, 1, 2, 5, 7, 9, 24, 19, 35, 46, 86, 134, 187, 259, 450, 616, 823, 1233, 1799, 2355, 3342, 4468, 6063, 8148, 10774, 13977, 18769, 23589, 30683, 39393, 49878, 62372, 79362, 98541, 121354, 151201, 186611, 225245, 277930, 335569

Offset

30,9

Comments

Enantiomorphic pairs are regarded as the same here. Cf. A086423.

References

P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 33.

Links

Jan Goedgebeur, Table of n, a(n) for n = 30..200, terms a(30)..a(120) from Gunnar Brinkmann.

Gunnar Brinkmann and Andreas W. M. Dress, A constructive enumeration of fullerenes, J. Algorithms 23 (1997), no. 2, 345-358.

Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay, The Generation of Fullerenes, arXiv:1207.7010v1 [math.CO], 2012.

Gunnar Brinkmann, Andreas Dress, fullgen.

Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay, buckygen.

CombOS - Combinatorial Object Server, generate fullerenes

House of Graphs, Fullerenes.

A. M. Livshits and Yu. E. Lozovik, Cut-and-unfold approach to fullerene enumeration, J. Chem. Inf. Comput. Sci., (2004), vol. 44, 1517-1520.

Crossrefs

Cf. A086423, A007894, A057210.

Sequence in context: A192279 A286356 A086422 * A142879 A284167 A108118

Adjacent sequences: A046877 A046878 A046879 * A046881 A046882 A046883

Keyword

nonn,nice

Author

Gunnar Brinkmann and A. Dress (dress(AT)mathematik.uni-bielefeld.de)

Extensions

Added a(121)-a(200). a(30)-a(190) is independently confirmed by buckygen and fullgen, while a(191)-a(200) was only computed by buckygen. - Jan Goedgebeur, Aug 08 2012

Status

approved