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A002434
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Theta series of Borcherds' 27-dimensional unimodular lattice T_27.
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3
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1, 0, 0, 1640, 119574, 1497600, 16733184, 108081792, 588805308, 2544826368, 9516533760, 31328289720, 92876121704, 252846217728, 638250227712, 1511780699520, 3387237774102, 7228330481664
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OFFSET
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0,4
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LINKS
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MAPLE
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th3^27-54*th3^19*delta8+216*th3^11*delta8^2-1024*th3^3*delta8^3 # (th3= A000122, delta8= A002408).
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MATHEMATICA
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terms = 18; QP = QPochhammer; th3 = EllipticTheta[3, 0, q]; delta8 = q*(QP[q]*(QP[q^4]/QP[q^2]))^8; s = th3^27 - 54*th3^19*delta8 + 216*th3^11*delta8^2 - 1024*th3^3*delta8^3 + O[q]^terms; CoefficientList[s, q] (* Jean-François Alcover, Jul 06 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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