A282898 Numerator of the coefficients of the series expansion of the Riemann-Siegel theta function at infinity.

1, 7, 31, 127, 511, 1414477, 8191, 118518239, 5749691557, 91546277357, 23273283019, 1982765468311237, 22076500342261, 455371239541065869, 925118910976041358111, 16555640865486520478399, 1302480594081611886641, 904185845619475242495834469891

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..275

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

Numerator[ 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]]

Crossrefs

Cf. A114721, A282899.

Differs from A036282.

Sequence in context: A303449 A083420 A277002 * A036282 A033474 A001896

Adjacent sequences: A282895 A282896 A282897 * A282899 A282900 A282901

Keyword

nonn,frac

Author

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

Status

approved