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A022078 Theta series of D*_25 lattice. 1
1, 0, 0, 0, 50, 0, 0, 0, 1200, 0, 0, 0, 18400, 0, 0, 0, 202450, 0, 0, 0, 1702560, 0, 0, 0, 11389600, 33554432, 0, 0, 62339200, 0, 0, 0, 285385200, 838860800, 0, 0, 1114064850, 0, 0, 0, 3779134240, 10066329600, 0, 0, 11360877600, 0, 0, 0, 30885301600 (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..1699

EXAMPLE

G.f. = 1 + 50*q^4 + 1200*q^8 + ...

PROG

(Magma)

L := Dual(Lattice("D", 25));

B := Basis(ThetaSeriesModularFormSpace(L), 70);

S := [1, 0, 0, 0, 50, 0, 0, 0, 1200, 0, 0, 0, 18400];

Coefficients(&+[B[i] * S[i] : i in [1..13]]); // Andy Huchala, Jul 14 2021

CROSSREFS

Sequence in context: A023936 A324676 A015066 * A337330 A174914 A036172

Adjacent sequences:  A022075 A022076 A022077 * A022079 A022080 A022081

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.)