The answer depends on the function used to generate the sequence.
If the function is
Un = (n3 - 3n2 + 8n - 3)/3 for n = 1, 2, 3, ... from which U5 = 29
or
Un = 2n - 1 which would imply the next number is 31.
There are other possible answers.
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The next number in the sequence 1 6 15 44 109 is 226 Solution found using method at http://everything2.com/index.pl?node_id=1027744
The next number after 15 will be 3. You are sequentially adding 9, adding 1, and dividing by 5.
The next number in the sequence is 15 - the sequence goes x2, +2, -1
23
35