Extrapolate from these non linear numbers [closed]

How do I extrapolate from these non linear values?

I'm looking for a formula that'll give me more values down the graph following the trend of these numbers.

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closed as not a real question by tomasz, William, rschwieb, Michael Greinecker♦, Ｊ. Ｍ.Sep 19 '12 at 9:28

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That would depend on what you want to obtain... –  tomasz Sep 6 '12 at 20:31
@tomasz thanks for your comment, i'm looking for a formula that'll give me more values down the graph following the trend of these numbers. Thanks. –  Harry Sep 6 '12 at 20:39

There seems to be a very good fit to an exponential: $$L_j \approx \exp(11.9095801316190 + .157003890964286\; j), \ j = 1 \ldots 15$$

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As a worst-case scenario option, you could use the Lagrange polynomial equation http://mathworld.wolfram.com/LagrangeInterpolatingPolynomial.html .It takes a while even with Wolfram, though, so only use it only if approximations fail you.

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You can try various things. I would first divide them all by $10^6$ to avoid overflow, then try polynomial fits of increasing order and see how they do. You could also take logs and try a linear fit to see if they fit an exponential.