Sequence Guess

Guess the sequence. The solutions is near.

Sequence: 1 1 1 1 1 5 9 9 -31 -103 225 -2883 20017

Solution
The solution is: 
20017 671889
And the recurrence formula is 
 (seq[-1] + 4) -seq[-2] *seq[-3] +seq[-4] *seq[-5]
This fine program was brought to you by hakank@bonetmail.com
My other useless programs.