Number sequence 15, 101, 8, 86, 9699

[shroo]

I've been struggling with this number sequence for some time now, and i can't find the pattern, can anyone help?

the sequence is: 0, 15, 101, 8, 86, 9699, 6008, ... what comes after?

any thoughts?

 

[dodo]

I used linear regression to produce$$x_n = \frac{ -2009823672425 x_{n-1}^2 + 1317576645654994 x_{n-2}^2 + 19713318671536597 x_{n-1} - 131718609410997380 x_{n-2} - 290871998770928574} {43322484909156}$$though, even if it is a perfect fit, it's probably not what the puzzle designer had in mind, as the next value is$$\frac {10226107345860276146148} {3610207075763}$$and the rest plunge down the negative.

 

[nucl34rgg]

There are an infinite number of possible numbers that could be the next term in that sequence.

Problems like this are always silly because you have to guess what the person writing the problem intended.