Determining a formula for a (sub)sequence

[smize]

I currently have the first 125,256 terms of a sequence of natural numbers. I need to find a formula for any non-finite sub-sequence.

Are there any good methods for obtaining such a formula? I can already say that it isn't a linear distribution, and I highly doubt it being polynomial (although it could involve a root function).

Any help would be appreciated.

Thanks.

 

[mathman]

How did you get the sequence?

 

[smize]

The sequence is the set of n's where | ∑$_{k=0}^{n}$ a$_{k}$z$^{k}$ | is a local maximum in the sequence of the magnitudes of partial sums (the partial sums are complex valued).