Friday, July 16, 2010

A Function Whose Zeros Are the Fibonacci Numbers

Here's a function with zeros at precisely the Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, ....

(Click on the image for the full-sized graph.)

This function is defined for all real x ≥ √0.8 = 0.894427....

Incidentally, 1 appears twice in the Fibonacci sequence, and you can see the double zero at x = 1 in the graph.

No comments:

Post a Comment