login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons 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. 0
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.

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 15 02:21 EDT 2021. Contains 343909 sequences. (Running on oeis4.)