fu'a'ai

valsi

fu'a'ai

type

experimental cmavo

creator

krtisfranks

time entered

Sun Feb 23 18:49:16 2014  

English

Definition #53091 - Preferred

 

selma'o

PA5

definition

digit/number: first Foias' constant; the unique value of x₁ such that MATH

$x_n\to\infty$

x_n→∞ as MATH

$n\to\infty$

n→∞ for MATH

$x_{n+1}  = \left(1 + \frac1{x_n}\right)^n$

x_n+1 = <img alt="$\left(\vphantom{1 + \frac1{x_n}}\right.$" src="/jbovlaste_export/GP6K3XmjKz/img1.png" style="height: 4.27ex; vertical-align: -1.63ex; "/>1 + <img alt="${\frac{1}Template:x n}$" src="/jbovlaste_export/GP6K3XmjKz/img2.png" style="height: 3.15ex; vertical-align: -1.15ex; "/><img alt="$\left.\vphantom{1 + \frac1{x_n}}\right)^{n}_{}$" src="/jbovlaste_export/GP6K3XmjKz/img3.png" style="height: 4.41ex; vertical-align: -1.74ex; "/>; such x₁ = 1.187…

notes

See also: fu'a'au

gloss words

• first Foias' constant ; ≈ 1.187...

created by

krtisfranks

vote information

3

time

Mon Aug 11 21:57:55 2025

Examples

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