A057210 Number of fullerenes with 2n vertices (or carbon atoms), counting enantiomorphic pairs as distinct.

1, 0, 1, 1, 3, 3, 10, 9, 23, 30, 66, 80, 162, 209, 374, 507, 835, 1113, 1778, 2344, 3532, 4670, 6796, 8825, 12501, 16091, 22142, 28232, 38016, 47868, 63416, 79023, 102684, 126973, 162793, 199128, 252082, 306061, 382627, 461020

Offset: 10

Author

N. J. A. Sloane, Aug 28 2003

Keywords

• nonn

References

• P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 32.

Links

• Gunnar Brinkmann, Table of n, a(n) for n = 10..100 (Received Aug 18, 2006)
• Philip Engel and Peter Smillie The number of non-negative curvature triangulations of S^2, arXiv:1702.02614 [math.GT], 2017.
• Philip Engel, Jan Goedgebeur, and Peter Smillie, Exact enumeration of fullerenes, arXiv:2304.01655 [math.GT], 2023.

Crossrefs

Cf. A007894, A013957.

Formula

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