OFFSET
10,5
COMMENTS
The b-file supplied in 2006 was computed with a version of fullgen predating the bug fix described in A007894; its values a(68)-a(100) were too small. See the b-file link for corrected and extended values. - Tyler Satchel Orden, Aug 07 2026
REFERENCES
P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 32.
LINKS
Tyler Satchel Orden, Table of n, a(n) for n = 10..200 (terms from Engel, Smillie & Goedgebeur, 2025; terms a(10)-a(67) from Gunnar Brinkmann, 2006)
Philip Engel and Peter Smillie The number of convex tilings of the sphere by triangles, squares, or hexagons, Geom. Topol., 22 (2018), 2839-2864; arXiv:1702.02614 [math.GT], 2017-2018.
Philip Engel, Jan Goedgebeur, and Peter Smillie, Exact enumeration of fullerenes, Duke Math. J., 174 (2025), 575-613; arXiv:2304.01655 [math.GT], 2023-2024.
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
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 28 2003
STATUS
approved