Determining a formula for a (sub)sequence

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The discussion focuses on finding a formula for a non-finite subsequence derived from the first 125,256 terms of a sequence of natural numbers. The poster indicates that the distribution is not linear and is skeptical about it being polynomial, suggesting it may involve a root function. The sequence is defined by the indices where the local maxima occur in the magnitudes of partial sums of a complex-valued series. Contributors are asked for effective methods to derive the desired formula. The inquiry highlights the complexity of identifying patterns in sequences based on specific mathematical properties.
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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.
 
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How did you get the sequence?
 
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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