A271856 Decimal expansion of the first local extremum value of the Riemann function zeta(x) along the negative real axis; zeta(A271855).

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

Offset

-2,1

Comments

The first local extremum is a maximum; for a detailed description, see A271855, which defines its location.

Links

Stanislav Sykora, Table of n, a(n) for n = -2..2000

Eric Weisstein's World of Mathematics, Riemann Zeta Function

Example

0.009159890119903461840056038728643927232684502733945717887794905486...

Prog

(PARI) \\ This function was tested up to n = 11600000:
zetaextreme(n) = {return(solve(x=-2.0*n, -2.0*n-1.9999999999, zeta'(x)); }
a = zeta(zetaextreme(1)) \\ Evaluation for this entry

Crossrefs

Cf. A271855.

Sequence in context: A021526 A019791 A006752 * A164802 A201888 A185825

Adjacent sequences: A271853 A271854 A271855 * A271857 A271858 A271859

Keyword

nonn,cons

Author

Stanislav Sykora, Apr 23 2016

Status

approved