[go: up one dir, main page]
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
Table of n, a(n) for n=0..17.
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.
Robert Scherer, Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant theta_3, arXiv:1904.04509 [math.NT], 2019.
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
Adjacent sequences: A317648 A317649 A317650 * A317652 A317653 A317654
KEYWORD
sign
AUTHOR
Michel Marcus, Aug 03 2018
EXTENSIONS
More terms from Romik article added by Michel Marcus, Apr 10 2019
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 30 03:24 EDT 2024. Contains 375523 sequences. (Running on oeis4.)