A387065 Decimal expansion of the value of the Riemann zeta function at 2nd extremum (negated).

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

Offset

0,3

Links

Table of n, a(n) for n=0..106.

Artur Jasinski, Values of Riemann zeta function at 1000 succesive negative extrema.

Formula

Equals zeta(-A387052).

Example

-0.00398644166367075043171...

Mathematica

kk = x /. FindRoot[Zeta'[x] == 0, {x, -5}, WorkingPrecision -> 110]; dd =
 RealDigits[Zeta[kk], 10, 105][[1]]; Flatten[Prepend[dd, {0, 0}]]

Crossrefs

Cf. A271855, A271856, A387052.

Sequence in context: A070342 A125125 A021719 * A200346 A351404 A199781

Adjacent sequences: A387062 A387063 A387064 * A387066 A387067 A387068

Keyword

nonn,cons

Author

Artur Jasinski, Aug 15 2025

Status

approved