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A245276 Decimal expansion of sum_{r in Z}(1/r^3) where Z is the set of all nontrivial zeros r of the Riemann zeta function. 9
0, 0, 0, 1, 1, 1, 1, 5, 8, 2, 3, 1, 4, 5, 2, 1, 0, 5, 9, 2, 2, 7, 6, 2, 6, 6, 8, 2, 3, 8, 9, 1, 4, 5, 7, 8, 4, 7, 3, 9, 6, 4, 1, 8, 9, 2, 4, 8, 9, 8, 6, 5, 1, 8, 7, 7, 0, 2, 7, 3, 4, 5, 2, 6, 7, 2, 8, 9, 1, 2, 1, 3, 0, 0, 0, 6, 2, 6, 2, 4, 0, 2, 2, 6, 6, 8, 2, 9, 8, 1, 0, 0, 3, 4, 8, 1, 3, 6, 6, 9, 9, 4, 1, 8, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,8

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.21 Stieltjes Constants, p. 168.

LINKS

Table of n, a(n) for n=0..105.

Eric Weisstein's MathWorld, Stieltjes Constants

Wikipedia, Stieltjes constants

FORMULA

-7*zeta(3)/8 + gamma^3 + 3*gamma*gamma(1) + 3/2*gamma(2) + 1, where gamma is Euler's constant and gamma(n) is the n-th Stieltjes constant.

EXAMPLE

-0.000111158231452105922762668238914578473964189248986518770273452672891213...

MATHEMATICA

Join[{0, 0, 0}, RealDigits[-7*Zeta[3]/8 + EulerGamma^3 + 3*EulerGamma*StieltjesGamma[1] + 3/2*StieltjesGamma[2] + 1, 10, 103] // First]

CROSSREFS

Cf. A074760, A195423, A245275.

Sequence in context: A195358 A021636 A011210 * A180155 A110989 A099736

Adjacent sequences:  A245273 A245274 A245275 * A245277 A245278 A245279

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 16 2014

STATUS

approved

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Last modified May 18 10:28 EDT 2022. Contains 353807 sequences. (Running on oeis4.)