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A089805 Expansion of Jacobi theta function (theta_4(q^6) - theta_4(q^(2/3)))/2/q^(2/3). 1
1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Jacobi Theta Functions

I. J. Zucker, Further Relations Amongst Infinite Series and Products. II. The Evaluation of Three-Dimensional Lattice Sums, J. Phys. A: Math. Gen. 23, 117-132, 1990.

FORMULA

a(2*n) = A089801(n). a(2*n + 1) = 0. - Michael Somos, Jun 30 2015

MATHEMATICA

A089805[n_] := SeriesCoefficient[(EllipticTheta[4, 0, q^6] - EllipticTheta[4, 0, q^(2/3)])/(2*q^(2/3)), {q, 0, n}]; Table[A089805[n], {n, 0, 50}] (* G. C. Greubel, Nov 20 2017 *)

CROSSREFS

Cf. A089801.

Sequence in context: A016391 A016378 A323513 * A080116 A016359 A014029

Adjacent sequences:  A089802 A089803 A089804 * A089806 A089807 A089808

KEYWORD

sign

AUTHOR

Eric W. Weisstein, Nov 12 2003

STATUS

approved

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Last modified May 25 07:29 EDT 2020. Contains 334584 sequences. (Running on oeis4.)