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July 7th, 2012, 12:09 PM  #1 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Functional equation with a recurrence relation.
I rarely post on this section but this time I've got a real problem. Consider the recurrence function: My goal is to find the functional form of L(n). From examining the first 17 outputs, I conclude that this function is related to logarithmic function. Thank you all. 
July 7th, 2012, 02:53 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 21,027 Thanks: 2258 
You need to revise the definition so that it doesn't imply L(0) = L(0) + 1, which is impossible.

July 7th, 2012, 11:43 PM  #3  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  reply to skipjack Quote:
With the use of advanced GDC, theory of curve fitting and purely iterative algorithms, I found: But cannot prove it without iteration. Any help is appritiated.  

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equation, functional, recurrence, relation 
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