Golden Tommy Numbers
#1
Consider the Fibonacci or tribonacci like recursion

F(k) = f(1) + f(2) + ... + f(k-n)

This leads us to the related golden Tommy Numbers

G(n) for n a strict + integer,
The largest real root of :


x^n - x^(n-1) = 1

I know that g(1) till g(5) can be given by radicals and that g(1) = 2, g(2) = the golden mean.
Also lim g(n) = 1.

What else do we know about these numbers ?

Regards

Tommy1729
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Messages In This Thread
Golden Tommy Numbers - by tommy1729 - 04/13/2015, 12:38 AM
RE: Golden Tommy Numbers - by tommy1729 - 04/13/2015, 12:42 AM
RE: Golden Tommy Numbers - by tommy1729 - 04/24/2015, 03:03 PM

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