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Interesting Sequence (5) (Posted on 2004-11-07) Difficulty: 4 of 5
1, 3, 5, 7, 9, 15, 17, 21, 27, __, __, __, ...

What are the next three numbers in this sequence?

See The Solution Submitted by SilverKnight    
Rating: 4.3333 (6 votes)

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Solution Puzzle Solution Comment 8 of 8 |

Each term of the given sequence is the decimal representation of palindromic binary numbers.
Now 27 = 11011 in binary.
The next three palindromic numbers are:
11111, 100001, 101101 and these are respectively 31, 33 and 45 in decimal representation.
Thus, the required missing numbers are: 31, 33 and 45.

 


  Posted by K Sengupta on 2007-03-09 04:36:32
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