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A033668
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Theta series of 4-dimensional lattice A_2 tensor A2, with det 81, minimal norm 4.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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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.
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CROSSREFS
| Sequence in context: A195929 A194659 A194186 * A030239 A040308 A077810
Adjacent sequences: A033665 A033666 A033667 * A033669 A033670 A033671
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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