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%I #16 Apr 05 2023 08:33:22
%S 1,0,1,1,3,3,10,9,23,30,66,80,162,209,374,507,835,1113,1778,2344,3532,
%T 4670,6796,8825,12501,16091,22142,28232,38016,47868,63416,79023,
%U 102684,126973,162793,199128,252082,306061,382627,461020
%N Number of fullerenes with 2n vertices (or carbon atoms), counting enantiomorphic pairs as distinct.
%D P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 32.
%H Gunnar Brinkmann, <a href="/A057210/b057210.txt">Table of n, a(n) for n = 10..100</a> (Received Aug 18, 2006)
%H 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 Philip Engel, Jan Goedgebeur, and Peter Smillie, <a href="https://arxiv.org/abs/2304.01655">Exact enumeration of fullerenes</a>, arXiv:2304.01655 [math.GT], 2023.
%F a(n) = (809/1306069401600)*sigma_9(n) + O(n^8) where sigma_9(n) is the ninth divisor power sum, A013957. - _Philip Engel_, Nov 29 2017
%Y Cf. A007894, A013957.
%K nonn
%O 10,5
%A _N. J. A. Sloane_, Aug 28 2003
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