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.
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The next number in the sequence is 27.
243
13 18 16 21 19 24 22 27 25 ... . This series consists of adding 5 to the first number and subtracting 2 from the next number, repeating the sequence in that order.
343.
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.