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A033668 Theta series of 4-dimensional lattice A_2 tensor A2, with det 81, minimal norm 4. +0
1
1, 0, 18, 12, 0, 36, 36, 0, 90, 12, 0, 72, 84, 0, 144, 72, 0, 108, 36, 0, 252, 96, 0, 144, 180, 0, 252, 12, 0, 180, 216, 0, 378, 144, 0, 288, 84, 0, 360, 168, 0, 252, 288, 0, 504, 72, 0, 288, 372, 0, 558, 216, 0, 324 (list; graph; listen)
OFFSET

0,3

FORMULA

After rescaling, this is equal to (theta series of A2)^2 + 2*(theta series of A_2 with respect to deep hole)^2, i.e. J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 111, Eq. (60)^2 + 2*Eq.(63)^2.

CROSSREFS

Adjacent sequences: A033665 A033666 A033667 this_sequence A033669 A033670 A033671

Sequence in context: A033965 A089517 A035616 this_sequence A030239 A040308 A077810

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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