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A255681 Decimal expansion of Sum_{k>=2} zeta(2k+1)/((2k+1)*2^(2k)). 1
1, 1, 5, 9, 3, 1, 5, 1, 5, 6, 5, 8, 4, 1, 2, 4, 4, 8, 8, 1, 0, 7, 2, 0, 0, 3, 1, 3, 7, 5, 7, 7, 4, 1, 3, 7, 0, 3, 3, 3, 4, 0, 7, 9, 8, 4, 2, 0, 3, 3, 1, 6, 5, 5, 3, 1, 4, 9, 1, 2, 7, 7, 4, 6, 0, 8, 5, 2, 5, 8, 9, 5, 1, 9, 2, 0, 3, 0, 0, 4, 4, 6, 6, 8, 9, 1, 6, 2, 6, 3, 7, 0, 4, 6, 7, 1, 9, 3, 8, 0, 2, 7, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights (2011) p. 272.

Eric Weisstein's MathWorld, Riemann Zeta Function

Wikipedia, Riemann Zeta Function

FORMULA

Equals log(2) - EulerGamma.

EXAMPLE

0.1159315156584124488107200313757741370333407984203316553149...

MATHEMATICA

RealDigits[Log[2] - EulerGamma, 10, 105] // First

PROG

(PARI) default(realprecision, 100); log(2) - Euler \\ G. C. Greubel, Sep 06 2018

(MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); Log(2) - EulerGamma(R); // G. C. Greubel, Sep 06 2018

CROSSREFS

Cf. A001620, A002162, A094642 (= log(Pi/2) = Sum_{k>=2} zeta(2k)/(k*2^(2k))).

Sequence in context: A030125 A111698 A216755 * A021948 A306883 A256500

Adjacent sequences:  A255678 A255679 A255680 * A255682 A255683 A255684

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Apr 13 2015

STATUS

approved

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Last modified December 8 18:37 EST 2019. Contains 329865 sequences. (Running on oeis4.)