Template:Continued fraction examples
Revision as of 12:58, 21 August 2014 by imported>Cmglee (Create template)
| Number | r | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ϕ = Template:Sfrac | ar | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| ra | 1 | 2 | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | |
| √2 | ar | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| ra | 1 | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | |
| √3 | ar | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
| ra | 1 | 2 | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | |
| e | ar | 2 | 1 | 2 | 1 | 1 | 4 | 1 | 1 | 6 | 1 | 1 |
| ra | 2 | 3 | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | |
| π | ar | 3 | 7 | 15 | 1 | 292 | 1 | 1 | 1 | 2 | 1 | 3 |
| ra | 3 | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac | Template:Sfrac |
ra: rational approximant obtained by expanding continued fraction up to ar