Take the sequence 1,2,3,4,... and prime factorize every number. In the prime factorization, replace Nth prime with N. Remultiply out to get the sequence above.
For example, 15 goes in the question mark's place. 15 prime factorizes to 3*5. 3 is the 2nd prime, and 5 is the 3rd prime, so we change 3*7 to 2*3=6.
A different solution that also works is explained in a comment by Charlie |