# Determining a formula for a (sub)sequence

1. ### smize

78
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.

2. ### mathman

6,516
How did you get the sequence?

3. ### smize

78
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).

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