A246844 Decimal expansion of t_0, the lower bound of the conjectured first interval [t_0, t_1] where the real part of zeta(1+i*t) is negative.

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

Offset

6,1

Links

Table of n, a(n) for n=6..104.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 28.

Example

682112.8913382399411595568288044300347117777561378753092...

Mathematica

t0 = t /. FindRoot[Re[Zeta[1 + I*t]] == 0, {t, 682112.891 }, WorkingPrecision -> 120]; RealDigits[t0, 10, 99] // First

Crossrefs

Cf. A242069, A242070, A246843, A246845.

Sequence in context: A326770 A143852 A372311 * A246845 A374815 A214369

Adjacent sequences: A246841 A246842 A246843 * A246845 A246846 A246847

Keyword

nonn,cons

Author

Jean-François Alcover, Sep 05 2014

Status

approved