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!)
A282899 Denominators/48 of the coefficients of the series expansion of the Riemann-Siegel theta function at infinity. 3
1, 120, 1680, 8960, 25344, 30750720, 53248, 167116800, 1333592064, 2739404800, 72351744, 526720696320, 419430400, 525462405120, 55745722712064, 45268955299840, 141733920768, 3462000479620300800, 2542620639232, 483482750523801600, 284950532966055936 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See "RiemannSiegelTheta" in the help file of Mathematica, Series expansion at infinity.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Richard P. Brent, On asymptotic approximations to the log-Gamma and Riemann-Siegel theta functions, arXiv:1609.03682 [math.NA], 2016.

Eric Weisstein's World of Mathematics, Riemann-Siegel Functions

Wikipedia, Riemann-Siegel theta function

Wolfram Language and System, RiemannSiegelTheta

MATHEMATICA

Denominator[ DeleteCases[ CoefficientList[ CoefficientList[ Series[ RiemannSiegelTheta[ t], {t, Infinity, 41}], 1/t^_] + Pi/8 + t/2 + t*Log[2]/2 + t*Log[Pi]/2 + t*Log[1/t]/2, 1/t][[1]], 0]]/48

CROSSREFS

Cf. A114721, A282898 (numerators).

Sequence in context: A183597 A027795 A223427 * A053567 A056270 A001118

Adjacent sequences:  A282896 A282897 A282898 * A282900 A282901 A282902

KEYWORD

nonn,frac

AUTHOR

Mats Granvik and Robert G. Wilson v, Feb 24 2017

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 August 6 19:52 EDT 2020. Contains 336256 sequences. (Running on oeis4.)