A097584 Number of well-rounded minimal classes of lattices in dimension n.

1, 2, 5, 18, 136, 5634

Offset

1,2

References

J. Martinet, Les réseaux 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

Table of n, a(n) for n=1..6.

Christian Batut and Jacques Martinet, Lattices and spherical designs, 2005-2014. See pages 12-13.

Crossrefs

Cf. A037075, A065536.

Sequence in context: A006896 A125625 A281532 * A197855 A289126 A062097

Adjacent sequences: A097581 A097582 A097583 * A097585 A097586 A097587

Keyword

nonn,hard,more

Author

N. J. A. Sloane, Sep 22 2004

Extensions

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

Status

approved