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<blockquote data-quote="woodelf" data-source="post: 4278056" data-attributes="member: 10201"><p>I think you're using the wrong math. It looks to me like it's basically an exponential function, with some rounding to get &quot;nice&quot; numbers. Simply graph the values, and you'll see that it's very close to a smooth exponential curve. In fact, when i use OpenOffice to give me the best-fit curve, i can't tell the difference between the best-fit curve (an exponential function) and the actual values--the errors are too small. So, I think the reason it looks wonky is you're trying to approximate an exponential function with simple differences. Even at two orders removed (the difference of the difference), it's not likely to map very well. As for the blips in the rate at which the increases increase? I think just an artifact of rounding off. I think you're worrying too much about the details--given that the overall progression is consistent, i'm not convinced that the fact that the rate of increase of the rate of increase is a little wobbly matters.</p></blockquote><p></p>

[QUOTE="woodelf, post: 4278056, member: 10201"] I think you're using the wrong math. It looks to me like it's basically an exponential function, with some rounding to get "nice" numbers. Simply graph the values, and you'll see that it's very close to a smooth exponential curve. In fact, when i use OpenOffice to give me the best-fit curve, i can't tell the difference between the best-fit curve (an exponential function) and the actual values--the errors are too small. So, I think the reason it looks wonky is you're trying to approximate an exponential function with simple differences. Even at two orders removed (the difference of the difference), it's not likely to map very well. As for the blips in the rate at which the increases increase? I think just an artifact of rounding off. I think you're worrying too much about the details--given that the overall progression is consistent, i'm not convinced that the fact that the rate of increase of the rate of increase is a little wobbly matters. [/QUOTE]

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