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Expansion of Jacobi theta function theta_2(q^(1/2))/q^(1/8).
3

%I #14 Mar 22 2018 18:05:13

%S 2,2,0,2,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,

%T 0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,

%U 0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0

%N Expansion of Jacobi theta function theta_2(q^(1/2))/q^(1/8).

%H G. C. Greubel, <a href="/A089799/b089799.txt">Table of n, a(n) for n = 0..5000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/JacobiThetaFunctions.html">Jacobi Theta Functions</a>

%H I. J. Zucker, <a href="https://doi.org/10.1088/0305-4470/23/2/009">Further Relations Amongst Infinite Series and Products. II. The Evaluation of Three-Dimensional Lattice Sums</a>, J. Phys. A: Math. Gen. 23, 117-132, 1990.

%t a[n_] := SeriesCoefficient[ EllipticTheta[2, 0, q^(1/2)]/q^(1/8), {q, 0, n}]; Table[a[n], {n, 0, 101}] (* _Jean-François Alcover_, Nov 12 2012 *)

%K nonn

%O 0,1

%A _Eric W. Weisstein_, Nov 12 2003