List questions from golden-ratio

Published on 23 Dec 2018 - 3:01

62

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Functional Equation involving Golden Ratio

Published on 23 Dec 2018 - 13:48

346

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How to show that $\sum_{n=1}^{\infty}\frac{\phi^{2n}}{n^2{2n \choose n}}=\frac{9}{50}\pi^2$

Published on 24 Dec 2018 - 10:02

160

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Why is $F_n = r^n$ a solution of the difference equation if $r$ satisfies $r^2-r-1=0$?

Published on 28 Dec 2018 - 19:10

1.2k

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A Series For the Golden Ratio

Published on 30 Dec 2018 - 14:50

1.1k

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Show that the maximum value of this nested radical is $\phi-1$

Published on 05 Jan 2019 - 16:41

197

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Studying on this sum interesting $\sum_{n=1}^{\infty}\frac{{2n \choose n }}{4^n n}$

Published on 14 Jan 2019 - 22:18

896

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Is there a meaningful link between the golden ratio and chaos theory?

Published on 29 Jan 2019 - 5:05

139

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A Golden Ratio Functional Equation Sequence

Published on 08 Feb 2019 - 14:16

152

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On the golden ratio and odd perfect numbers

Published on 23 Feb 2019 - 10:06

237

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Remembering the golden ratio

Published on 26 Feb 2019 - 17:51

178

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Fibonacci elegance sought for $F_{f (n)} + F_{f(n)-1}$

Published on 14 Mar 2019 - 22:19

224

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Numberphile's "plastic number" video, question regarding "calipers" used

Published on 15 Mar 2019 - 15:51

134

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$a,b \in \mathbb Z$ we have that $a+ b\phi \in \mathbb Z[\phi]^* \iff a^2 +ab-b^2 = \pm 1$

Published on 18 Mar 2019 - 19:59

364

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ring of integers with golden ratio

Published on 19 Mar 2019 - 19:05

List Question

Continued fraction of $\phi^3$

Functional Equation involving Golden Ratio

How to show that $\sum_{n=1}^{\infty}\frac{\phi^{2n}}{n^2{2n \choose n}}=\frac{9}{50}\pi^2$

Why is $F_n = r^n$ a solution of the difference equation if $r$ satisfies $r^2-r-1=0$?

A Series For the Golden Ratio

Show that the maximum value of this nested radical is $\phi-1$

Studying on this sum interesting $\sum_{n=1}^{\infty}\frac{{2n \choose n }}{4^n n}$

Is there a meaningful link between the golden ratio and chaos theory?

A Golden Ratio Functional Equation Sequence

On the golden ratio and odd perfect numbers

Remembering the golden ratio

Fibonacci elegance sought for $F_{f (n)} + F_{f(n)-1}$

Numberphile's "plastic number" video, question regarding "calipers" used

$a,b \in \mathbb Z$ we have that $a+ b\phi \in \mathbb Z[\phi]^* \iff a^2 +ab-b^2 = \pm 1$

ring of integers with golden ratio

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