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A022070 Theta series of D*_17 lattice. 1
1, 0, 0, 0, 34, 0, 0, 0, 544, 0, 0, 0, 5440, 0, 0, 0, 38114, 131072, 0, 0, 199104, 0, 0, 0, 808384, 2228224, 0, 0, 2641664, 0, 0, 0, 7213984, 17825792, 0, 0, 17215458, 0, 0, 0, 37569728, 91357184, 0, 0, 77129408, 0, 0, 0, 149405248, 347602944, 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..2000

EXAMPLE

G.f. = 1 + 34*q^4 + 544*q^8 + ...

PROG

(Magma)

L := Dual(Lattice("D", 17));

B := Basis(ThetaSeriesModularFormSpace(L), 2005);

S := [1, 0, 0, 0, 34, 0, 0, 0, 544];

Coefficients(&+[B[i] * S[i] : i in [1..9]]); // Andy Huchala, Jul 13 2021

CROSSREFS

Sequence in context: A171705 A228426 A023928 * A123301 A328913 A269482

Adjacent sequences:  A022067 A022068 A022069 * A022071 A022072 A022073

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Andy Huchala, Jul 13 2021

STATUS

approved

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Last modified November 30 21:20 EST 2021. Contains 349426 sequences. (Running on oeis4.)