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Sum ArcTan Limit (Posted on 2016-05-11) Difficulty: 3 of 5
F(k) denotes the kth Fibonacci Number.

Define:
G(n) = Σk=1 to n ArcTan((F(2k+1)-1)

Find:
Limit G(n)
n → ∞

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): summing the series via computer | Comment 4 of 6 |
(In reply to re(2): summing the series via computer by Charlie)

BTW, yes, of course it would make a difference to include the even Fibonaccis.  Experimenting with that finds nothing that's as remarkable as the odd numbered Fibonacci's above 1.
  Posted by Charlie on 2016-05-11 14:55:30

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