This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A007894 #66 Feb 16 2025 08:32:31 %S A007894 1,0,1,1,2,3,6,6,15,17,40,45,89,116,199,271,437,580,924,1205,1812, %T A007894 2385,3465,4478,6332,8149,11190,14246,19151,24109,31924,39718,51592, %U A007894 63761,81738,99918,126409,153493,191839,231017,285914,341658,419013 %N A007894 Number of fullerenes with 2n vertices (or carbon atoms). %C A007894 Enantiomorphic pairs are regarded as the same here. Cf. A057210. %C A007894 Contradictory results from the program "buckygen" from Brinkmann et al. (2012) and the program "fullgen" from Brinkmann and Dress (1997) led to the detection of a non-algorithmic error in fullgen. This bug has now been fixed and the results are in complete agreement. a(10)-a(190) were independently confirmed by buckygen and fullgen, while a(191)-a(200) were computed only by buckygen. - _Jan Goedgebeur_, Aug 08 2012 %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 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 Milicevic, A., and N. Trinajstic. "Combinatorial enumeration in chemistry." Chapter 8 in Chemical Modelling: Application and Theory, Vol. 4 (2006): 405-469. %D A007894 M. Petkovsek and T. Pisanski, Counting disconnected structures: chemical trees, fullerenes, I-graphs and others, Croatica Chem. Acta, 78 (2005), 563-567. %H A007894 Jan Goedgebeur, <a href="/A007894/b007894.txt">Table of n, a(n) for n = 10..200</a>. %H A007894 Gunnar Brinkmann, Jan Goedgebeur, and Brendan D. McKay, <a href="http://arxiv.org/abs/1207.7010">The Generation of Fullerenes</a>, arXiv:1207.7010 [math.CO], 2012. %H A007894 Gunnar Brinkmann and Andreas Dress, <a href="http://users.cecs.anu.edu.au/~bdm/plantri/">fullgen</a>. %H A007894 Gunnar Brinkmann and Andreas W. M. Dress, <a href="https://doi.org/10.1006/jagm.1996.0806">A constructive enumeration of fullerenes</a>, Journal of Algorithms, Vol. 23, No. 2 (1997), 345-358. %H A007894 Gunnar Brinkmann, Jan Goedgebeur, and Brendan D. McKay, <a href="http://caagt.ugent.be/buckygen/">buckygen</a>. %H A007894 CombOS - Combinatorial Object Server, <a href="http://combos.org/fullgen">generate fullerenes</a> %H A007894 Philip Engel and Peter Smillie, <a href="https://arxiv.org/abs/1702.02614">The number of non-negative curvature triangulations of S^2</a>, arXiv:1702.02614 [math.GT], 2017. %H A007894 Paul Gailiunas, <a href="https://archive.bridgesmathart.org/2023/bridges2023-337.html">Kagome from Deltahedra</a>, Bridges Conf. Proc.; Math., Art, Music, Architecture, Culture (2023) 337-344. %H A007894 Jan Goedgebeur and Brendan D. McKay, <a href="http://arxiv.org/abs/1508.02878">Fullerenes with distant pentagons</a>, arXiv:1508.02878 [math.CO], (12-August-2015). %H A007894 House of Graphs, <a href="https://houseofgraphs.org/meta-directory/fullerenes">Fullerenes</a>. %H A007894 Diaaeldin Taha, Wei Zhao, J. Maxwell Riestenberg, and Michael Strube, <a href="https://arxiv.org/abs/2312.01502">Normed Spaces for Graph Embedding</a>, arXiv:2312.01502 [cs.LG], 2023. See p. 22. %H A007894 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Fullerene.html">Fullerene</a> %H A007894 Wikipedia, <a href="http://en.wikipedia.org/wiki/Fullerene">Fullerene</a> %F A007894 a(n) = (809/2612138803200)*sigma_9(n) + O(n^8) where sigma_9(n) is the ninth divisor power sum, cf. A013957. - _Philip Engel_, Nov 29 2017 %Y A007894 Cf. A057210, A046880. %K A007894 nonn,easy,nice %O A007894 10,5 %A A007894 Boris Shraiman (boris(AT)physics.att.com), _Gunnar Brinkmann_ and A. Dress (dress(AT)mathematik.uni-bielefeld.de) %E A007894 Corrected a(68)-a(100) and added a(101)-a(200). - _Jan Goedgebeur_, Aug 08 2012