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A317651
Sequence related to the Taylor expansion of the Jacobi theta_3 constant.
2
1, 1, -1, 51, 849, -26199, 1341999, 82018251, 18703396449, -993278479599, -78795859032801, 38711746282537251, -923351332174412751, 4688204953344642495801, 501271295036889289819599, -89944302490128540556106949, -104694993963067299023875442751, 63396004159664562363095882996001
OFFSET
0,4
LINKS
Christian Krattenthaler and Thomas W. Müller, The congruence properties of Romik's sequence of Taylor.coefficients of Jacobi's theta function theta_3, arXiv:2304.11471 [math.NT], 2023. See p. 1.
Dan Romik, The Taylor coefficients of the Jacobi theta_3, arXiv:1807.06130 [math.NT], 2018.
Tanay Wakhare, Christophe Vignat, Taylor coefficients of the Jacobi theta3(q) function, arXiv:1909.01508 [math.NT], 2019.
CROSSREFS
Cf. A175573 (theta3(1)).
Sequence in context: A201140 A210079 A201832 * A201212 A153221 A172639
KEYWORD
sign
AUTHOR
Michel Marcus, Aug 03 2018
EXTENSIONS
More terms from Romik article added by Michel Marcus, Apr 10 2019
STATUS
approved