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A082632
Decimal expansion of lim_{y->infinity} y^2*(Re(zeta(1 + i/y)) - gamma).
0
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
0,3
COMMENTS
Lim_{y->infinity} Im(zeta(1 + i/y))/y = -1. - Vaclav Kotesovec, Feb 18 2021
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
EXAMPLE
0.00484518159643615924226519301760626...
MATHEMATICA
StieltjesGamma[2]/2 // RealDigits[#, 10, 103]& // First // Join[{0, 0}, #]& (* Jean-François Alcover, Mar 04 2013 *)
CROSSREFS
Cf. A086279.
Sequence in context: A045816 A085991 A122110 * A296481 A155874 A160204
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, May 24 2003
EXTENSIONS
More terms from Jean-François Alcover, Mar 04 2013
STATUS
approved