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This is a sequence of numbers with a certain logic that I thought of. Try to figure out the logic behind it:

4, 8, 7, 5, 10, 11, 13, 8, 7, 14, 19, 20, 22

If you’re having a hard time, you can consult the hint below and the solution below it.

Hint

The sequence actually begins with 1 and 2 before the 4. So the complete sequence is:

1, 2, 4, 8, 7, 5, 10, 11, 13, 8, 7, 14, 19, 20, 22

Can you now determine what it is?

Solution

This is the sequence of the decimal digits’ sum of the whole powers of 2. 1, 2, 4, 8 are single digit numbers so that’s the start of the sequence. Later on 16 yields 7, 32 yields 5, 64 yields 10, 128 yields 11, and so forth.

I came up with this riddle back in high school, and after I got an Internet connection I found this sequence in the On-Line Encyclopedia of Integer Sequences.