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04182012, 09:03 PM  #1782451 / #2 
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I forwarded that to a math professor I know.
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04192012, 12:17 AM  #1782604 / #9 
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OK, a mathematical solution:
Evenvalued terms are every 3 terms (as the Fibonacci sequence mod 2 is 0, 1, 1, 0, 1, 1, 0, ...). There is a formula for the nth term of the Fibonacci sequence which goes as follows: There are 33 fibonacci numbers (starting with F(1) = 1) less than 4 million. Therefore the sum is: In order to prevent extra math, we figure out the denominators now. Therefore by crossmultiplying we get ETA: My nerditude has reached a maximum. =Uncool Last edited by uncool; 04192012 at 12:21 AM. 
04192012, 03:00 AM  #1782743 / #12 
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There's a ton of equations relating to Fibonacci numbers.
Another way to calculate the solution: For the sum of every third member of the series starting from n = 0: From this recurrence and the first 3 terms of the sum we get the matrix equation:
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04262012, 04:45 PM  #1790547 / #21 
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2 days later I'm still trying to figure it out.
I must be a freaking genius!!
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04262012, 04:50 PM  #1790552 / #23 
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I got it!!!
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04262012, 04:56 PM  #1790560 / #25 
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Actually I was thinking: What Would Testy Do?
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". . . organized greed always defeats disorganized democracy"  Matt Taibbi 

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