Solution to sequence of numbers 1 2 4 3 6 8 7 14 16?

The simplest sequence appears to be 15

1*2=2

2+2=4

4-1=3

3*2=6

6+2=8

8-1=7

7*2=14

14+2=16

16-1=15

Multiply by 2

Add 2

Subtract 1

Repeat