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