The answer is 137, it is obtained like this:
0 + 26 + 1 = 27
26 + 27 + 1 = 54
27 + 54 + 1 = 82
54 + 82 + 1 = 137
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The next number in the sequence is 27.
243
343.
This appears to be two interwoven sequences. The first sequence, increases by 9 then 19......7 + 9 = 16........8 + 19 = 27 The second sequence decreases by 8 then 18....16 - 8 = 8........27 - 9 = 18 The next number would thus be 9 + 29 = 38.
The next number in the sequence is 27. To get the next number, double the number and add one. Except for the second number, all the numbers in the sequence follow this rule.