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/sci/ - Science & Math


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9424923 No.9424923 [Reply] [Original]

What are some nonlinear recurrences that can actually be solved? The only one I know of is the Catalan numbers (pic related)

>> No.9425294

[math]x_{n+1} = 2x_n(1-x_n)[/math]

[math]x_n = \frac{1}{2}(1-(1-2x_0)^{2^n}[/math]

>> No.9425302 [DELETED] 

>>9425294
Both linear if you consider the basis {1, x, x^2, ..., x^n}.

Try again sweetie.

>> No.9425321
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9425321

>>9425302
ok then, how about you give a solution to this easy linear recurrence relation
[math]x_{n+1} = 3.56995 x_n (1-x_n)[/math]