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A022076 Theta series of D*_23 lattice. 1
1, 0, 0, 0, 46, 0, 0, 0, 1012, 0, 0, 0, 14168, 0, 0, 0, 141726, 0, 0, 0, 1078792, 0, 0, 8388608, 6503112, 0, 0, 0, 31946816, 0, 0, 192937984, 130905236, 0, 0, 0, 457207478, 0, 0, 2122317824, 1392036360, 0, 0, 0, 3784029000, 0, 0, 15049162752, 9401213016, 0, 0 (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..1782

EXAMPLE

G.f. = 1 + 46*q^4 + 1012*q^8 + ...

PROG

(Magma)

L := Dual(Lattice("D", 23));

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

S := [1, 0, 0, 0, 46, 0, 0, 0, 1012, 0, 0, 0];

Coefficients(&+[B[i] * S[i] : i in [1..12]]); // Andy Huchala, Jul 14 2021

CROSSREFS

Sequence in context: A089626 A110479 A023934 * A055766 A267319 A261513

Adjacent sequences:  A022073 A022074 A022075 * A022077 A022078 A022079

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 21 10:40 EDT 2021. Contains 348150 sequences. (Running on oeis4.)