# Infinite product

1. Aug 13, 2008

### learnfrench

I am actually trying to calculate a probability and hitting upon the infinite product:

$$\prod_{j=1}^{\infty}\frac{2^{j}-1}{2^{j}}$$

Any idea what this might be (it's about 0.28, but I want the formula).

2. Aug 13, 2008

### CRGreathouse

that a binary matrix is nonsingular?

http://www.research.att.com/~njas/sequences/A048651 [Broken] is the constant. There are several formulas there, but probably none that are 'the formula' you hoped to find.

Last edited by a moderator: May 3, 2017
3. Aug 14, 2008

### learnfrench

Last edited by a moderator: Apr 23, 2017