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.

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

Author

Jean-François Alcover, Jul 16 2014

Keywords

• nonn
• cons

Examples

			-0.000111158231452105922762668238914578473964189248986518770273452672891213...
		

References

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

Links

• Eric Weisstein's MathWorld, Stieltjes Constants
• Wikipedia, Stieltjes constants

Crossrefs

Cf. A074760, A195423, A245275.

Programs

Mathematica

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

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.