Template:Sequence of the Day for October 29

Intended for: October 29, 2012

Timetable

• First draft entered by Alonso del Arte on April 8, 2012 ✓
• Draft reviewed by Daniel Forgues on October 28, 2012 ✓
• Draft to be approved by September 29, 2012

Yesterday's SOTD * Tomorrow's SOTD

The line below marks the end of the <noinclude> ... </noinclude> section.

---

A072449: Decimal expansion of the limit of the nested radical $\textstyle {\sqrt {1\,+\,{\sqrt {2\,+\,{\sqrt {3\,+\,{\sqrt {4\,+\,{\sqrt {\cdots }}}}}}}}}}$.

1.757932756618...

This limit is referred to as the nested radical constant. This is not your typical infinitely nested radical, in that the number nested at each step is different. But much more importantly, no closed form is known for this nested radical, further setting it apart from the typical nested radical.

External links

• Weisstein, Eric W., Nested Radical Constant, from MathWorld—A Wolfram Web Resource.