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A002520 Theta series of 28-dimensional unimodular lattice with no roots and with no parity vector of norm 4. +0
3
1, 0, 0, 2240, 98280, 1790208, 19138560, 141920640, 805208040, 3723722240, 14651449344, 50573436480, 156717687840, 443691198720, 1162883174400, 2851049534592, 6596666916840, 14509544394240, 30507984568320 (list; graph; listen)
OFFSET

0,4

REFERENCES

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.

LINKS

R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28 (html, ps).

FORMULA

t3^28-56*t3^20*D8+280*t3^12*D8^2 where t3=theta_3(z) and D8=(theta_2(z)*theta_4(z))^4/16.

CROSSREFS

Cf. A002519.

Sequence in context: A053395 A079013 A038728 this_sequence A107529 A125522 A123297

Adjacent sequences: A002517 A002518 A002519 this_sequence A002521 A002522 A002523

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 04 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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