Next number in sequence 7 16 8 27 9?

The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.

(7), 16, (8), 27, (9,) ?, (10)

Every other number (shown in parentheses) is counting up by one from 7: 7, 8, 9, ...

The 16 is 2*8, which is the following number. The 27 is 3*9, which is the following number. So the sequence seems to be, starting with n=7:

n, 2 * (n+1), n+1, 3 * (n+2), n+2, 4 (n+3), n+3, ...

7, 16, 8, 27, 9, 4 * (7+3) = 40, 10, ...