A065536 Number of strongly eutactic lattices in dimension n.

1, 2, 3, 6, 9, 21

Offset: 1

Author

N. J. A. Sloane, Nov 16 2001

Keywords

• nonn
• nice
• hard
• more

References

• J. Martinet, Les reseaux parfaits des espaces Euclidiens, Masson, Paris, 1996.
• J. Martinet, Perfect Lattices in Euclidean Spaces, Springer-Verlag, NY, 2003.
• G. Nebe, Review of J. Martinet, Perfect Lattices in Euclidean Spaces, Bull. Amer. Math. Soc., 41 (No. 4, 2004), 529-533.

Links

• Christian Batut and Jacques Martinet, Lattices and spherical designs, 2005-2014. See pages 12-13.
• J. Martinet and B. Venkov, Les réseaux fortement eutactiques, pp. 112-132 in Réseaux Euclidiens, Designs Sphériques et Formes Modulaires, ed. J. Martinet, L'Enseignement Mathématique, Geneva, 2001.

Crossrefs

Cf. A037075, A065535, A004026.

Extensions

It is known that a(6) >= 19, a(7) >= 10.

a(5) corrected and a(6) added from Batut & Martinet by Andrey Zabolotskiy, Feb 20 2021