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

Author

Michal Paulovic, Sep 08 2014

Keywords

• nonn
• cons

Comments

Fixed point of Dirichlet eta function.

Examples

			0.6293340940...
		

Links

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

Crossrefs

Cf. A197070, A267315, A267316.

Programs

Mathematica

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

PARI

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