After 13, it's 18.
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The next number in the sequence is 18. It's +1, +2, +3, +4, ....
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"6" is the next numeral in this sequence.
The next number in this sequence is 18. You're adding 1 to the difference of the previous two numbers. 4-3=1, 6-4=2 etc... so 18-13=5. The sequence is t(n) = 0.5*(n2 - n + 6) where n = 1, 2, 3, ... It is, of course, easy to find polynomials of order 3 or higher that would fit the sequence.