Number sequence 15, 101, 8, 86, 9699

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The number sequence 0, 15, 101, 8, 86, 9699, 6008 is challenging to decipher, with users struggling to identify a clear pattern. One participant attempted to apply linear regression to derive a formula, resulting in a complex equation that fits the existing numbers but may not align with the original intent of the sequence. The discussion highlights the inherent difficulty in solving such puzzles, as they often rely on the creator's specific design rather than mathematical logic. Additionally, it is noted that there could be countless valid next terms, emphasizing the ambiguity in predicting the sequence's continuation. Ultimately, the conversation reflects the frustration of guessing the intended pattern behind the numbers.
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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?
 
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I used linear regression to produce<br /> x_n = \frac{ -2009823672425 x_{n-1}^2 + 1317576645654994 x_{n-2}^2 + 19713318671536597 x_{n-1} - 131718609410997380 x_{n-2} - 290871998770928574} {43322484909156}<br />though, even if it is a perfect fit, it's probably not what the puzzle designer had in mind, as the next value is<br /> \frac {10226107345860276146148} {3610207075763}<br />and the rest plunge down the negative.
 
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.
 
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