A014711 Theta series of 16-dimensional 2-modular lattice with min norm 3 and det 256 (the "odd Barnes-Wall lattice").

1, 0, 0, 256, 2016, 9216, 32768, 96768, 246240, 563200, 1179648, 2292480, 4214400, 7382016, 12386304, 20110848, 31617504, 48273408, 72089600, 105166080, 150424128, 211988480, 293437440, 400559616

Offset

0,4

Links

Table of n, a(n) for n=0..23.

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

Index entries for sequences related to Barnes-Wall lattices

Formula

(theta_3(z)theta_3(2z))^6((theta_3(z)theta_3(2z))^2-4(theta_4(z)theta_2(2z))^2).

Crossrefs

Sequence in context: A237340 A237333 A221487 * A236451 A236445 A205954

Adjacent sequences: A014708 A014709 A014710 * A014712 A014713 A014714

Keyword

nonn

Author

N. J. A. Sloane, E. M. Rains

Status

approved