cp's OEIS Frontend

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

%I A046880 #29 Oct 06 2022 16:13:34
%S A046880 1,0,0,0,0,1,1,1,2,5,7,9,24,19,35,46,86,134,187,259,450,616,823,1233,
%T A046880 1799,2355,3342,4468,6063,8148,10774,13977,18769,23589,30683,39393,
%U A046880 49878,62372,79362,98541,121354,151201,186611,225245,277930,335569
%N A046880 Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).
%C A046880 Enantiomorphic pairs are regarded as the same here. Cf. A086423.
%D A046880 P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 33.
%H A046880 Jan Goedgebeur, <a href="/A046880/b046880.txt">Table of n, a(n) for n = 30..200</a>, terms a(30)..a(120) from Gunnar Brinkmann.
%H A046880 Gunnar Brinkmann and Andreas W. M. Dress, <a href="https://doi.org/10.1006/jagm.1996.0806">A constructive enumeration of fullerenes</a>,  J. Algorithms 23 (1997), no. 2, 345-358.
%H A046880 Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay, <a href="http://arxiv.org/abs/1207.7010">The Generation of Fullerenes</a>, arXiv:1207.7010v1 [math.CO], 2012.
%H A046880 Gunnar Brinkmann, Andreas Dress, <a href="http://users.cecs.anu.edu.au/~bdm/plantri/">fullgen</a>.
%H A046880 Gunnar Brinkmann, Jan Goedgebeur, Brendan D. McKay, <a href="http://caagt.ugent.be/buckygen/">buckygen</a>.
%H A046880 CombOS - Combinatorial Object Server, <a href="http://combos.org/fullgen">generate fullerenes</a>
%H A046880 House of Graphs, <a href="https://houseofgraphs.org/meta-directory/fullerenes">Fullerenes</a>.
%H A046880 A. M. Livshits and Yu. E. Lozovik, <a href="https://doi.org/10.1021/ci0342573">Cut-and-unfold approach to fullerene enumeration</a>, J. Chem. Inf. Comput. Sci., (2004), vol. 44, 1517-1520.
%Y A046880 Cf. A086423, A007894, A057210.
%K A046880 nonn,nice
%O A046880 30,9
%A A046880 _Gunnar Brinkmann_ and A. Dress (dress(AT)mathematik.uni-bielefeld.de)
%E A046880 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