A014713 Theta series of shadow of lattice described in A014711.

0, 0, 0, 256, 2304, 9216, 28672, 96768, 276480, 563200, 1032192, 2292480, 4746240, 7382016, 10838016, 20110848, 35536896, 48273408, 63078400, 105166080, 169385472, 211988480, 256757760, 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.

Formula

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

Crossrefs

Cf. A014711.

Sequence in context: A235518 A206109 A206102 * A205642 A205635 A205027

Adjacent sequences: A014710 A014711 A014712 * A014714 A014715 A014716

Keyword

nonn

Author

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

Status

approved