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

Author

Ilya Gutkovskiy, Sep 21 2021

Keywords

• nonn
• cons

Comments

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

Examples

			0.41960035259835647849877575356670002531808936312...
		

Crossrefs

Cf. A010815, A067687, A206119.

Programs

Mathematica

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

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