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A301815 Decimal expansion of gamma / (2*Pi), where gamma is Euler's constant A001620. 2
0, 9, 1, 8, 6, 6, 7, 2, 6, 2, 9, 9, 1, 5, 3, 9, 9, 0, 3, 7, 9, 6, 4, 2, 2, 3, 4, 0, 7, 1, 8, 7, 8, 0, 9, 1, 4, 1, 3, 6, 2, 9, 2, 8, 0, 5, 6, 0, 6, 4, 1, 2, 1, 2, 3, 6, 1, 0, 8, 7, 2, 0, 8, 3, 7, 4, 5, 6, 2, 8, 1, 9, 3, 4, 9, 6, 1, 8, 0, 7, 0, 6, 2, 9, 2, 3, 4, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

Peter Luschny, An expansion for the Bernoulli function

FORMULA

Let beta(r) be the real part of Integral_{-oo..oo} (log(1/2 + i*z)^r / (exp(-Pi*z) + exp(Pi*z))^2) dz, where i denotes the imaginary unit. The constant equals -beta(1) and A301814 equals beta(1/2).

EXAMPLE

Equals 0.0918667262991539903796422340718780914136292805606412123610872...

MAPLE

evalf(gamma(0)/(2*Pi), 100);

MATHEMATICA

RealDigits[EulerGamma/(2*Pi), 10, 100][[1]] (* G. C. Greubel, Aug 11 2018 *)

PROG

(PARI) Euler/(2*Pi) \\ Altug Alkan, Apr 13 2018

(MAGMA) R:=RealField(100); EulerGamma(R)/(2*Pi(R)); // G. C. Greubel, Aug 27 2018

CROSSREFS

Cf. A001620, A301814, A301816, A301817.

Sequence in context: A098783 A234468 A011111 * A191502 A109871 A087500

Adjacent sequences:  A301812 A301813 A301814 * A301816 A301817 A301818

KEYWORD

nonn,cons

AUTHOR

Peter Luschny, Apr 13 2018

STATUS

approved

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Last modified August 20 01:14 EDT 2019. Contains 326136 sequences. (Running on oeis4.)