List questions from golden-ratio

Published on 08 Sep 2012 - 4:22

746

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Need formula for sequence related to Lucas/Fibonacci numbers

Published on 11 Sep 2012 - 4:59

303

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Prove that the sequence $x_{n+1} = {\frac{x_n+1}{x_n+2}}, x_0 = 1$ converges to $\frac{1}{\varphi}$

Published on 07 Oct 2012 - 13:53

4.4k

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How many infinite series representations of the golden ratio are in existence?

Published on 26 Oct 2012 - 15:21

142

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Computing $\left\lfloor\sum_{k = 1}^{n}{\varphi^{3k}}\right\rfloor$

Published on 20 Nov 2012 - 8:05

1.4k

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Why doesn't this induction "proof "show $f_n = (\phi)^n + (1-\phi)^n$?

Published on 30 Nov 2012 - 2:22

153

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Non-isomorphic combinatorial classes with growth rate equal to the golden ratio?

Published on 30 Nov 2012 - 12:47

757

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understanding the Golden ratio intuitively

Published on 30 Dec 2012 - 10:37

4.3k

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Continued Fraction [1,1,1,...]

Published on 26 Feb 2013 - 23:26

35

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Solve for $n$ : $\lfloor{(n+1)\phi}\rfloor x + ny < z$

Published on 14 Aug 2020 - 6:12

181

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On the golden ratio and even perfect numbers

Published on 27 Mar 2026 - 8:42

1.4k

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Pentagram and Golden Ratio

Published on 16 Aug 2020 - 16:04

323

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How to calculate phi with a random number generator?

Published on 16 Oct 2020 - 6:01

564

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Where do Fibonacci Ratios come from (retracement levels)

Published on 23 Oct 2020 - 0:18

262

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What does the golden spiral converge to?

Published on 28 Oct 2020 - 2:20

List Question

Does this number have an expression as square root or log of something

Need formula for sequence related to Lucas/Fibonacci numbers

Prove that the sequence $x_{n+1} = {\frac{x_n+1}{x_n+2}}, x_0 = 1$ converges to $\frac{1}{\varphi}$

How many infinite series representations of the golden ratio are in existence?

Computing $\left\lfloor\sum_{k = 1}^{n}{\varphi^{3k}}\right\rfloor$

Why doesn't this induction "proof "show $f_n = (\phi)^n + (1-\phi)^n$?

Non-isomorphic combinatorial classes with growth rate equal to the golden ratio?

understanding the Golden ratio intuitively

Continued Fraction [1,1,1,...]

Solve for $n$ : $\lfloor{(n+1)\phi}\rfloor x + ny < z$

On the golden ratio and even perfect numbers

Pentagram and Golden Ratio

How to calculate phi with a random number generator?

Where do Fibonacci Ratios come from (retracement levels)

What does the golden spiral converge to?

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