A246845 Decimal expansion of t_1, the upper 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, 9, 4, 4, 2, 5, 0, 4, 9, 1, 7, 6, 2, 4, 3, 9, 0, 2, 2, 6, 7, 4, 3, 9, 4, 9, 3, 6, 9, 0, 7, 3, 8, 2, 8, 5, 6, 4, 4, 8, 1, 1, 0, 3, 4, 9, 1, 5, 1, 5, 0, 5, 8, 0, 5, 3, 5, 1, 5, 9, 0, 4, 0, 0, 6, 8, 9, 7, 6, 5, 0, 2, 3, 3, 5, 3, 6, 1, 8, 7, 7, 1, 8, 7, 0, 3, 6, 9, 0, 1, 6, 9, 6, 9

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

682112.9442504917624390226743949369073828564481103491515...

Mathematica

t1 = t /. FindRoot[Re[Zeta[1 + I*t]] == 0, {t, 682112.944 }, WorkingPrecision -> 120]; RealDigits[t1, 10, 99] // First

Crossrefs

Cf. A242069, A242070, A246843, A246844.

Sequence in context: A326770 A143852 A246844 * A214369 A242769 A189090

Adjacent sequences: A246842 A246843 A246844 * A246846 A246847 A246848

Keyword

nonn,cons

Author

Jean-François Alcover, Sep 05 2014

Status

approved