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A055379
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16*a(n) gives theta series of the shadow of the 24-dimensional odd Leech lattice.
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1
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3, 12216, 1049332, 24866496, 289421466, 2150562080, 11720932296, 50917793280, 186017041471, 592764490128, 1691223619836, 4404312868096, 10623285300642, 24004367672640, 51272935258008, 104280162643968, 203151521341206
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OFFSET
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1,1
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
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LINKS
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FORMULA
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G.f.: (1/16)*( theta2(z)^24 + 3*theta4(2*z)^8 * theta2(z)^16 + (3/16)*theta4(2*z)^16 * theta2(z)^8 ).
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MATHEMATICA
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CoefficientList[Series[(EllipticTheta[2, 0, q^(1/2)]^24 + 3*EllipticTheta[2, 0, q^(1/2)]^16*EllipticTheta[4, 0, q]^8 + (3/16)*EllipticTheta[2, 0, q^(1/2)]^8*EllipticTheta[4, 0, q]^16)/16, {q, 0, 30}], q] (* G. C. Greubel, Mar 15 2022 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 22 2000
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STATUS
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approved
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