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Search: id:A002519
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| A002519 |
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Theta series of 28-dimensional unimodular lattice with no roots and a parity vector of norm 4. |
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2
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| 1, 0, 0, 1728, 106472, 1734912, 19335168, 141575552, 805208040, 3725209088, 14647517184, 50579062848, 156715230240, 443680116992, 1162915024896, 2851005884544, 6596700471272, 14509559545344, 30507866603520
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28, in Reseaux euclidiens, designs spheriques et formes modulaires, pp. 212-267, Enseignement Math., Geneva, 2001.
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LINKS
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R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28 (html, ps).
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FORMULA
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t3^28-56*t3^20*D8+280*t3^12*D8^2-512*t3^4*D8^3 where t3=theta3(z) and D8=(theta2(z)theta4(z))^4/16
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CROSSREFS
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Cf. A002520.
Sequence in context: A032354 A017403 A017523 this_sequence A052068 A114767 A165134
Adjacent sequences: A002516 A002517 A002518 this_sequence A002520 A002521 A002522
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 04 2000
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