A005135 Number of laminated lattices of dimension n. (Formerly M0431)

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23

Offset

0,12

Comments

Next term, a(26), probably exceeds 75000.

References

J. H. Conway and N. J. A. Sloane, Laminated lattices, Annals of Math., 116 (1982), pp. 593-620. A revised version appears as Chapter 6 of "Sphere Packings, Lattices and Groups" by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag. See Chapter 6.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..25.

J. H. Conway and N. J. A. Sloane, The "shower" showing containments among the laminated lattices up to dimension 48 (Fig 3 from the Annals paper, also Fig. 6.1 in the Sphere packing book).

Crossrefs

Sequence in context: A124798 A318741 A171872 * A290003 A139460 A105244

Adjacent sequences: A005132 A005133 A005134 * A005136 A005137 A005138

Keyword

nonn,more

Author

N. J. A. Sloane

Status

approved