1,4

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J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, 3rd edition, 1999, see Preface to 3rd Ed., especially the page that was omitted by the publisher between pages xx and xxi!

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.

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Cf. A004026.

Sequence in context: A074005 A145499 A082611 this_sequence A018324 A129379 A000308

Adjacent sequences: A033686 A033687 A033688 this_sequence A033690 A033691 A033692

nonn,nice,hard

N. J. A. Sloane (njas(AT)research.att.com).

a(8) = 2408 was calculated by G. Nebe's student Cordian Riener - communicated by G. Nebe, Oct 11, 2005. He found this number by checking the complete list of 10916 perfect lattices in 8 dimensions (see A004026).