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A008427
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Theta series of {D_8}* lattice.
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5
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1, 16, 368, 448, 3184, 2016, 10304, 5504, 25712, 12112, 46368, 21312, 89152, 35168, 126592, 56448, 205936, 78624, 278576, 109760, 401184, 154112, 490176, 194688, 719936, 252016, 808864, 327040
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
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LINKS
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FORMULA
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G.f.: (theta_3(q))^8 + (theta_2(q))^8.
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MATHEMATICA
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terms = 28; s = EllipticTheta[3, 0, q]^8 + EllipticTheta[2, 0, q]^8 + O[q]^terms; CoefficientList[s, q] (* Jean-François Alcover, Jul 04 2017 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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