A076868 a(n) = smallest m such that a spherical n-design with m points exists in three dimensions.

1, 2, 4, 6, 12, 12, 24, 24, 36, 48, 60, 70

Offset

0,2

Comments

Most of these values are just conjectures.

Links

Table of n, a(n) for n=0..11.

R. H. Hardin and N. J. A. Sloane, McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions, arXiv:math/0207211 [math.CO], 2002; Discrete Comp. Geom., 15 (1996), 429-441.

Crossrefs

Cf. A007828, A076869, A076870.

Sequence in context: A056675 A062857 A061799 * A056793 A137387 A137394

Adjacent sequences: A076865 A076866 A076867 * A076869 A076870 A076871

Keyword

nonn,nice,more

Author

N. J. A. Sloane, Nov 25 2002

Status

approved