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Determining a formula for a (sub)sequence

by smize
Tags: determining, formula, subsequence
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Feb21-14, 07:44 PM
P: 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.

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Feb22-14, 04:16 PM
Sci Advisor
P: 6,030
How did you get the sequence?
Feb22-14, 05:32 PM
P: 78
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).

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