A246967 Decimal expansion of the real positive solution to eta(x) = x.

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

Offset

0,1

Comments

Fixed point of Dirichlet eta function.

Links

Table of n, a(n) for n=0..96.

Eric Weisstein's World of Mathematics, Dirichlet Eta Function.

Wikipedia, Dirichlet Eta Function.

Example

0.6293340940...

Mathematica

RealDigits[x /. FindRoot[DirichletEta[x] - x, {x, 0}, WorkingPrecision -> 120], 10, 100] [[1]] (* Amiram Eldar, May 24 2021 *)

Prog

(PARI) solve(n=0, 2, (1-2^(1-n))*zeta(n)-n) \\ Edward Jiang, Sep 08 2014

Crossrefs

Cf. A197070, A267315, A267316.

Sequence in context: A107826 A078756 A019848 * A351215 A215261 A132826

Adjacent sequences: A246964 A246965 A246966 * A246968 A246969 A246970

Keyword

nonn,cons

Author

Michal Paulovic, Sep 08 2014

Status

approved