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A037075 Number of eutactic lattices in dimension n. 3
1, 2, 5, 16, 118 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

Table of n, a(n) for n=1..5.

J. Martinet and B. Venkov, Les reseaux fortement eutactiques, pp. 112-132 in Reseaux Euclidiens, Designs Spheriques et Formes Modulaires, ed. J. Martinet, L'Enseignement Mathematiques, Geneva, 2001.

B. Venkov, Reseaux et designs spheriques, pp. 10-86 in Reseaux Euclidiens, Designs Spheriques et Formes Modulaires, ed. J. Martinet, L'Enseignement Mathematiques, Geneva, 2001.

CROSSREFS

Cf. A065536, A065535, A004026.

Sequence in context: A176343 A327062 A306020 * A115894 A033835 A178198

Adjacent sequences:  A037072 A037073 A037074 * A037076 A037077 A037078

KEYWORD

nonn,nice,hard

AUTHOR

J. Martinet (martinet(AT)math.u-bordeaux.fr), N. J. A. Sloane.

STATUS

approved

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Last modified November 11 22:31 EST 2019. Contains 329046 sequences. (Running on oeis4.)