A007828 Largest t such that a spherical t-design with n points exists in 3 dimensions.

0, 1, 1, 2, 1, 3, 2, 3, 2, 3, 3, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 7, 5, 6, 5, 6, 6, 7, 6, 7, 6, 7, 6, 8, 7, 7, 7, 8, 7, 8, 7, 8, 8, 8, 8, 9, 8, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 10

Offset

1,4

Comments

Most of these values are just conjectures.

Links

Table of n, a(n) for n=1..64.

R. H. Hardin and N. J. A. Sloane, McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions, Discrete Comp. Geom., 15 (1996), 429-441 (Abstract)

Crossrefs

Cf. A076868-A076870.

Sequence in context: A070956 A237127 A262746 * A070804 A303429 A303656

Adjacent sequences: A007825 A007826 A007827 * A007829 A007830 A007831

Keyword

nonn,nice

Author

N. J. A. Sloane, R. H. Hardin

Status

approved