18
3
4 (3+1)
6 (4+2)
9 (6+3)
13 (9+4)
18 (13+5)
...and so on
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31
18 3 +1 4 +2 6 +3 9 +4 13 +5 18 +6 24 +7 31 +8 39 +9 48 +10 58...
35
The next number in the sequence is 18. It's +1, +2, +3, +4, ....
3. It is the number of letters in the names of positive integers in English.