A345660 Theta series of the canonical laminated lattice LAMBDA_29.

1, 0, 0, 0, 198506, 163840, 20662272, 45481984, 745402040, 1904738304, 13582315520, 32267304960, 152158214640, 321893203968, 1194291679232, 2263580016640, 7176091448362

Offset

0,5

Comments

Theta series is an element of the space of modular forms on Gamma_0(16) of weight 29/2 and dimension 30 over the integers.

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 179.

Links

Table of n, a(n) for n=0..16.

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, 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).

G. Nebe and N. J. A. Sloane, Home page for this lattice

Index entries for sequences related to laminated lattices

Example

G.f.: 1 + 198506*q^8 + 163840*q^10 + ...

Prog

(Magma)
L := Lattice("Lambda", 29);
T<q> := ThetaSeries(L, 14);
C := Coefficients(T);
[C[2*i-1] : i in [1..8]];

Crossrefs

Cf. A005135, A023942, A008408.

Sequence in context: A213817 A215996 A205234 * A249358 A290780 A255782

Adjacent sequences: A345657 A345658 A345659 * A345661 A345662 A345663

Keyword

nonn,more

Author

Andy Huchala, Jun 27 2021

Extensions

a(14)-a(16) from Robin Visser, Sep 24 2023

Status

approved