List questions from golden-ratio

Published on 10 Apr 2026 - 16:50

66

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Functional Equation involving Golden Ratio

Published on 08 Apr 2026 - 19:39

349

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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 14 Apr 2026 - 16:04

163

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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 14 Apr 2026 - 11:28

1.2k

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A Series For the Golden Ratio

Published on 13 Apr 2026 - 16:42

1.1k

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

Published on 13 Apr 2026 - 11:01

200

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

Published on 13 Apr 2026 - 20:49

899

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

Published on 12 Apr 2026 - 8:52

142

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A Golden Ratio Functional Equation Sequence

Published on 11 Apr 2026 - 0:13

155

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On the golden ratio and odd perfect numbers

Published on 14 Apr 2026 - 10:32

242

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Remembering the golden ratio

Published on 30 Apr 2026 - 13:34

180

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

Published on 15 Apr 2026 - 18:46

226

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

Published on 14 Apr 2026 - 11:38

136

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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 15 Apr 2026 - 12:50

368

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ring of integers with golden ratio

Published on 11 Apr 2026 - 16:21

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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