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A029897 Theta series of 13-dimensional lattice Kappa_13 with minimal norm 4. 2
1, 0, 918, 6624, 36450, 120096, 322436, 764640, 1637766, 2912544, 5591592, 9160992, 14668002, 22913280, 35544420, 48529440, 74114514, 100230912, 136486530, 184801824, 252809100, 308852640, 426995388, 528491520, 664053284, 836215488, 1070501400, 1229873472 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 161.

LINKS

Andy Huchala, Table of n, a(n) for n = 0..1000

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

EXAMPLE

G.f. = 1 + 918*q^4 + 6624*q^6 + ...

PROG

(Magma)

L := (Lattice("Kappa", 13));

B := Basis(ThetaSeriesModularFormSpace(L), 55);

S := [1, 0, 918, 6624, 36450, 120096, 322436, 764640, 1637766, 2912544, 5591592, 9160992, 14668002, 22913280, 35544420, 48529440, 74114514, 100230912, 136486530, 184801824, 252809100, 308852640, 426995388, 528491520, 664053284];

Coefficients(&+[B[i] * S[i] : i in [1..25]]); // Andy Huchala, Jul 23 2021

CROSSREFS

Sequence in context: A234993 A234764 A282592 * A221387 A217226 A217344

Adjacent sequences:  A029894 A029895 A029896 * A029898 A029899 A029900

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Andy Huchala, Jul 23 2021

STATUS

approved

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Last modified October 18 08:58 EDT 2021. Contains 348067 sequences. (Running on oeis4.)