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A055747 Expansion of Jacobi form of weight 12 and index 1 for the Niemeier lattice of type E_8^3 or D_16+E_8. +0
1
1, 0, 0, 56, 606, 0, 0, 27456, 123156, 0, 0, 3745512, 9217112, 0, 0, 95209152, 188066718, 0, 0, 1144371624, 1960489800, 0, 0, 8505838656, 13289979912, 0, 0, 45755357024, 67080028224, 0, 0, 195411318912, 272570040468, 0, 0 (list; graph; listen)
OFFSET

0,4

COMMENT

a(4*n-r^2) gives number of vectors x in the lattice of norm 2n and <x,y>=r for any fixed vector in the lattice of norm 2.

REFERENCES

M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

FORMULA

E_8*E_4, 1

CROSSREFS

Cf. A008411.

Adjacent sequences: A055744 A055745 A055746 this_sequence A055748 A055749 A055750

Sequence in context: A048540 A005931 A027793 this_sequence A027813 A136006 A138410

KEYWORD

nonn

AUTHOR

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 11 2000

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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