%I #16 Oct 21 2018 13:40:00
%S 1,0,0,0,364,0,0,8192,16044,0,0,114688,200928,0,0,745472,1089452,0,0,
%T 3096576,4196920,0,0,9691136,12547808,0,0,25346048,31553344,0,0,
%U 58261504,70439852,0,0,120553472,142487436
%N Theta series of {D_14}^{+} lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
%H Seiichi Manyama, <a href="/A004534/b004534.txt">Table of n, a(n) for n = 0..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/JacobiThetaFunctions.html">Jacobi Theta Functions</a>
%F From _Seiichi Manyama_, Oct 21 2018: (Start)
%F Expansion of (theta_2(q)^14 + theta_3(q)^14 + theta_4(q)^14)/2 in powers of q^(1/2).
%F Expansion of (Sum_{k=-inf..inf} q^((k+1/2)^2))^14 + (Sum_{k=-inf..inf} q^(k^2))^14 + (Sum_{k=-inf..inf} (-1)^k * q^(k^2))^14 in powers of q^(1/2). (End)
%Y Cf. A000122 (theta_3(q)), A002448 (theta_4(q), A022045.
%K nonn
%O 0,5
%A _N. J. A. Sloane_
|