A353823 Decimal expansion of the solution to Product_{k>=1} (1 - (-x)^k) = x.

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

Offset: 0

Author

Ilya Gutkovskiy, May 08 2022

Keywords

• nonn
• cons

Examples

			0.761017395924108939293404828855039298...
		

Crossrefs

Cf. A121373, A347968.

Programs

Mathematica

RealDigits[x /. FindRoot[QPochhammer[-x] == x, {x, 1/2}, WorkingPrecision -> 120]][[1]] (* Vaclav Kotesovec, May 09 2022 *)

Formula

Root of the equation Sum_{j>=1} 1/(j*(1 - 1/(-x)^j)) = log(x). - Vaclav Kotesovec, May 09 2022