A014711 - OEIS

This site is supported by donations to The OEIS Foundation.

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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	LINKS	`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: A205370 A205659 A205363 * A205954 A205466 A205459` `Adjacent sequences: A014708 A014709 A014710 * A014712 A014713 A014714`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), E. M. Rains`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 06:22 EST 2012. Contains 205992 sequences.