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A014711 Theta series of 16-dimensional 2-modular lattice with min norm 3 and det 256 (the "odd Barnes-Wall lattice"). 1
1, 0, 0, 256, 2016, 9216, 32768, 96768, 246240, 563200, 1179648, 2292480, 4214400, 7382016, 12386304, 20110848, 31617504, 48273408, 72089600, 105166080, 150424128, 211988480, 293437440, 400559616 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)