A347968 Decimal expansion of the solution to Product_{k>=1} (1 - x^k) = x.

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

Offset

0,1

Comments

Fixed point of Euler function. - Michal Paulovic, Oct 16 2022

Links

Table of n, a(n) for n=0..119.

Example

0.41960035259835647849877575356670002531808936312...

Mathematica

RealDigits[x /. FindRoot[QPochhammer[x] == x, {x, 1/2}, WorkingPrecision -> 120]][[1]] (* Vaclav Kotesovec, Sep 21 2021 *)

Prog

(PARI) solve(x=0, 1, prodinf(k=1, 1-x^k) - x) \\ Michel Marcus, Sep 21 2021
(PARI) solve(x=0.4, 0.5, eta(log(x)/(2*Pi*I)) - x) \\ Michal Paulovic, Oct 16 2022

Crossrefs

Cf. A010815, A067687, A206119.

Sequence in context: A065489 A346404 A332385 * A197258 A211783 A185780

Adjacent sequences: A347965 A347966 A347967 * A347969 A347970 A347971

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Sep 21 2021

Status

approved