A More Mathematical Problem!

What is the next number in the following sequence, and why?

7, 11, 13, 14, 19, 21, 22, 25

Submitted by Anonymous

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A More Mathematical Problem! Solution

This little problem is (as I warned in the title) a little more mathematical than most of these brainteasers.

The solution is: Each number has exactly three 1's in its binary (base TWO) representation:

7 = 111 base two
11 = 1011 base two

etc.

The next number then, is 26
26 = 11010

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