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A022072 Theta series of D*_19 lattice. 1
1, 0, 0, 0, 38, 0, 0, 0, 684, 0, 0, 0, 7752, 0, 0, 0, 62054, 0, 0, 524288, 373464, 0, 0, 0, 1759704, 0, 0, 9961472, 6697728, 0, 0, 0, 21210156, 0, 0, 89653248, 57739518, 0, 0, 0, 140116184, 0, 0, 517996544, 313328088, 0, 0, 0, 658369608, 0, 0, 2211446784 (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. 120.

LINKS

Andy Huchala, Table of n, a(n) for n = 0..1991

EXAMPLE

G.f. = 1 + 38*q^4 + 684*q^8 + ...

PROG

(Magma)

L := Dual(Lattice("D", 19));

B := Basis(ThetaSeriesModularFormSpace(L), 20);

S := [1, 0, 0, 0, 38, 0, 0, 0, 684, 0];

Coefficients(&+[B[i] * S[i] : i in [1..10]]); // Andy Huchala, Jul 14 2021

CROSSREFS

Sequence in context: A329226 A171407 A023930 * A154229 A225433 A225398

Adjacent sequences:  A022069 A022070 A022071 * A022073 A022074 A022075

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Andy Huchala, Jul 14 2021

STATUS

approved

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Last modified October 18 15:41 EDT 2021. Contains 348068 sequences. (Running on oeis4.)