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%I #32 Aug 03 2024 17:27:26
%S 1,0,0,0,0,16,0,0,40,0,0,0,0,80,0,0,90,0,0,0,0,160,0,0,240,0,0,0,0,
%T 240,0,0,200,0,0,0,0,400,0,0,560,0,0,0,0,496,0,0,400,0,0,0,0,560,0,0,
%U 800,0,0,0,0,880,0,0,730
%N Theta series of {D_5}^{+} packing.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
%H Seiichi Manyama, <a href="/A008433/b008433.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)^5 + theta_3(q)^5 + theta_4(q)^5)/2 in powers of q^(1/4).
%F Expansion of (Sum_{k=-oo..oo} q^((k+1/2)^2))^5 + (Sum_{k=-oo..oo} q^(k^2))^5 + (Sum_{k=-oo..oo} (-1)^k * q^(k^2))^5 in powers of q^(1/4). (End)
%e G.f.: 1 + 16*q^(5/4) + 40*q^2 + 80*q^(13/4) + 90*q^4 + ... .
%Y Cf. A000122 (theta_3(q)), A002448 (theta_4(q)), A005930.
%K nonn,easy
%O 0,6
%A _N. J. A. Sloane_