Had the same problem, I think (???), with question 25 on the Mensa workout page …
I don’t think so, it seems the patterm is simply adding pairs in that one (1+10=11, 3+9=12…)
The answer should be 11, 5 (for a total of 16)
Now, what did I win? 
As for the OP, I’m still working on it… 
Yeah. I fit a polynomial of degree 6 to this data set and came up with 193 as the next number in the sequence, as I have already posted before. Of course, there is no reason to believe that these numbers were generated by the absurd sixth degree polynomial with rational, non-integer coefficients I derived. Just some pointless math knowledge put to use.
With simple little sequences like these that have no obvious pattern, one can come up with a justification for any number to be the next in the sequence.
Sum of the digits for 2 times n-1 plus 7 … e.g.
2 x 10 = 20 = 2 + 0 = 2 + 7 = 9 …
Answer is 15. Sum of digits sequences are utilized on Mensa III tests …
I got 15 right off the bat.
4 … 15 … 10 … 9 … 16 … 12 … 13 … Next?
4+15 = 19
10+9 = 19
16+12 = 28
13+x = 28
x = 15
shrugs
Wouldn’t know how to get the one after 15 now though, so I guess there is a better way.
Nice logic! …