Template:Sequence of the Day for November 16

Intended for: November 16, 2012

Timetable

• First draft entered by Kerry Mitchell on August 17, 2011 ✓
• Draft to be reviewed by September 16, 2012
• Draft to be approved by October 16, 2012

Yesterday's SOTD * Tomorrow's SOTD

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A047679: Denominator in full Stern–Brocot tree.

{ 1, 2, 1, 3, 3, 2, 1, 4, 5, 5, ... }

This sequence includes the terms 16, 11, 11 and 11, 16. As such, it can represent both 16 November ’11 and November 16. Beyond that, the Stern–Brocot tree is a fascinating way to approximate real numbers using fractions. This image (http://www.kerrymitchellart.com/gallery24/inspired.html) shows a representation of approximating

ϕ

, the Golden ratio. In the image, the widths of the spires are related to the denominators of the fractions encountered. Smaller denominators lead to larger structures.