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A014496 Theta series of hypothetical extremal 3-modular even 36-dimensional lattice with minimal norm 8 and det = 3^18. 1
1, 0, 0, 0, 646380, 24820992, 565367040, 7735875840, 74930308740, 554813521920, 3327411177216, 16817959549440, 73810081135980, 287829601113600, 1014561150624000, 3277808159415552, 9820670338068660 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 204.

LINKS

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

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

CROSSREFS

Sequence in context: A231323 A253405 A034628 * A251398 A057847 A058327

Adjacent sequences:  A014493 A014494 A014495 * A014497 A014498 A014499

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, Eric Rains

STATUS

approved

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Last modified February 19 22:04 EST 2020. Contains 332060 sequences. (Running on oeis4.)