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If you run series more than once, all the numbers you've spent time computing in the past one must compute again.
I can imagine caching all the numbers, but that is space inefficient. Probably storing 2 sequential numbers on some logarithmic numeric scale would allow one to skip generation for large numbers if you wanted to know a value at a certain point. ETS/GenServer/Agent are the likely candidates for storing this cache data. This is purely a performance hack, but one can imagine warming up the cache and then having sub-µs generation times afterward for very large sequences.
Thoughts?
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