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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.

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Q: What the sequence 3 4 6 9 13?
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