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A014713 Theta series of shadow of lattice described in A014711. +0
1
0, 0, 0, 256, 2304, 9216, 28672, 96768, 276480, 563200, 1032192, 2292480, 4746240, 7382016, 10838016, 20110848, 35536896, 48273408, 63078400, 105166080, 169385472, 211988480, 256757760, 400559616 (list; graph; listen)
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.

FORMULA

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

CROSSREFS

Sequence in context: A129539 A113877 A014711 this_sequence A016780 A138333 A070056

Adjacent sequences: A014710 A014711 A014712 this_sequence A014714 A014715 A014716

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), E. M. Rains

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Last modified December 5 20:25 EST 2009. Contains 170428 sequences.


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