A282899 Denominators/48 of the coefficients of the series expansion of the Riemann-Siegel theta function at infinity.

1, 120, 1680, 8960, 25344, 30750720, 53248, 167116800, 1333592064, 2739404800, 72351744, 526720696320, 419430400, 525462405120, 55745722712064, 45268955299840, 141733920768, 3462000479620300800, 2542620639232, 483482750523801600, 284950532966055936

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 * A340580 A376375 A053567

Adjacent sequences: A282896 A282897 A282898 * A282900 A282901 A282902

Keyword

nonn,frac

Author

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

Status

approved