A349672 Decimal expansion of the unique solution to zeta(x) = 3 in (1, +oo).

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

Offset

1,2

Links

Table of n, a(n) for n=1..99.

Example

zeta(1.41784593578735729296...) = 3.

Mathematica

(* following Jean-François Alcover's Mathematica program for A107311 *) x /. FindRoot[ Zeta[x] == 3, {x, 2}, WorkingPrecision -> 102] // RealDigits // First

Prog

(PARI) solve(x=1.4, 1.5, zeta(x) - 3)

Crossrefs

Cf. A107311.

Sequence in context: A348564 A253635 A078975 * A050411 A010643 A108906

Adjacent sequences: A349669 A349670 A349671 * A349673 A349674 A349675

Keyword

nonn,cons

Author

Jianing Song, Nov 24 2021

Status

approved