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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.
12
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
OFFSET
0,8
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.21 Stieltjes Constants, p. 168.
LINKS
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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved