%I A002519
%S A002519 1,0,0,1728,106472,1734912,19335168,141575552,805208040,3725209088,
%T A002519 14647517184,50579062848,156715230240,443680116992,1162915024896,
%U A002519 2851005884544,6596700471272,14509559545344,30507866603520
%N A002519 Theta series of 28-dimensional unimodular lattice with no roots and a 
               parity vector of norm 4.
%D A002519 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.
%H A002519 R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine 
               en dimension 27 et 28 (<a href="http://www-fourier.ujf-grenoble.fr/
               PREP/html/a332/a332.html">html</a>, <a href="http://www-fourier.ujf-grenoble.fr/
               cgi-bin/envoips.pl?PS=PREP/ps/t332">ps</a>).
%F A002519 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
%Y A002519 Cf. A002520.
%Y A002519 Sequence in context: A032354 A017403 A017523 this_sequence A052068 A114767 
               A165134
%Y A002519 Adjacent sequences: A002516 A002517 A002518 this_sequence A002520 A002521 
               A002522
%K A002519 nonn
%O A002519 0,4
%A A002519 N. J. A. Sloane (njas(AT)research.att.com).
%E A002519 More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 04 2000