#limit(number theory?)

9 messages · Page 1 of 1 (latest)

mystic bisonBOT
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fair escarp
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What you really want to determine is for which values of n a_n is a perfect square, right?

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So that you can construct a function which counts them, which would give you the value of A_N in terms of N.

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What you have so far is a range of values of k for which m is such that there exists an n such that a_n = m^2.

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And actually you already have an equation expressing n such that a_n = m^2 in terms of k.

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Or two equations, I suppose.

fair escarp
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I mean, you understand that A_N increases by one every time N passes one of those values, right?

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So then you can just construct a number of points of the form (N, A_N) to try to spot a pattern and perhaps construct a function.