Find a rule and fill in the number 1 3 4 7 7 11 10 15 13. What should be the next one?

Find a rule and fill in the number 1 3 4 7 7 11 10 15 13. What should be the next one?

(1 3) (4 7) (7 11) (10 15) (13 )
It can be seen from the above that the differences between the front and back numbers in brackets are 2, 3, 4 and 5 respectively
So, the next bracket should be 6, so the next number is 19
The last number in each bracket is 1, 0, - 1, - 2 more than the first number in the following bracket