A082632 Decimal expansion of lim_{y->infinity} y^2*(Re(zeta(1 + i/y)) - gamma).

0, 0, 4, 8, 4, 5, 1, 8, 1, 5, 9, 6, 4, 3, 6, 1, 5, 9, 2, 4, 2, 2, 6, 5, 1, 9, 3, 0, 1, 7, 6, 0, 6, 2, 6, 4, 6, 7, 9, 5, 3, 2, 9, 0, 3, 0, 5, 0, 6, 7, 0, 3, 7, 4, 9, 4, 0, 3, 5, 0, 6, 8, 2, 7, 2, 5, 9, 2, 5, 3, 7, 7, 6, 9, 1, 1, 4, 0, 2, 0, 7, 0, 8, 5, 9, 8, 9, 0, 9, 8, 6, 9, 0, 6, 8, 7, 2, 6, 8, 6, 5, 9, 6, 4, 3

Offset: 0

Author

Benoit Cloitre, May 24 2003

Keywords

• cons
• nonn

Comments

Lim_{y->infinity} Im(zeta(1 + i/y))/y = -1. - Vaclav Kotesovec, Feb 18 2021

Examples

			0.00484518159643615924226519301760626...
		

Crossrefs

Cf. A086279.

Programs

Mathematica

StieltjesGamma[2]/2 // RealDigits[#, 10, 103]& // First // Join[{0, 0}, #]& (* Jean-François Alcover, Mar 04 2013 *)

Formula

Equals lim_{y->infinity} y^2*(Re(zeta(1+i/y)) - gamma), where gamma is the Euler-Mascheroni constant A001620.

Equals A086279 / 2. - R. J. Mathar, Jul 15 2010

Extensions

More terms from Jean-François Alcover, Mar 04 2013