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# LBg

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1. ## An Exact Value For The Fine Structure Constant.

See http://oeis.org/A001175: A001175 Pisano periods (or Pisano numbers): period of Fibonacci numbers mod n. 1, 3, 8, 6, 20, 24, 16, 12, 24, 60, 10, 24, 28, 48, 40, 24, 36, 24, 18, 60, 16, 30, 48, 24, 100, 84, 72, 48, 14, 120, 30, 48, 40, 36, 80, 24, 76, 18, 56, 60, 40, 48, 88, 30, 120, 48, 32, 24, 112, 300, 72, 84, 108, 72, 20, 48, 72, 42, 58, 120, 60, 30, 48, 96, 140, 120, 136 for n=1,2,... corresponding to your base=2,3,... There is also a table of values for n = 1..10000. See also: http://math.ca/crux/v23/n4/page224-241.pdf So no programming is needed in this case :) . Unless, of c
2. ## An Exact Value For The Fine Structure Constant.

Don, you flatter me. I am not a mathematician, neither great nor small, but I enjoy creating efficient programming solutions to mathematical problems. /LBg
3. ## An Exact Value For The Fine Structure Constant.

I have estimated the asymptotic behaviour of w(10^n) as n goes to infinity and found it to be 0.640362740055367 * 10^n. See attachment for details. /LBg wAsymptotic.pdf
4. ## An Exact Value For The Fine Structure Constant.

Don, I have no website of my own and have no need create one either, sorry! /LBg

13. ## An Exact Value For The Fine Structure Constant.

Yes, I am the fellow that helped Don calculate w(10^15). I have extended the calculations in Don's paper, and made some investigations on my own. The results indicate that the presence of the "fine structure constant" in these data is rather speculative. It is even doubtful that the form of the equation is the best one for approximating the data. I have attached my investigations in PDF form. /Lars Investigation.pdf
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