Lucas number/fr: what changed
Revision 0 to 1. Removed lines have a minus sign; added lines have a plus sign.
Title: Lucas number/fr
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| 1 | + | # Lucas number | |
| 2 | + | ||
| 3 | + | La suite de Lucas est la suivante : | |
| 4 | + | ||
| 5 | + | `2, 1, 3, 4, 7, 11, 18, 29, 47, ...` | |
| 6 | + | ||
| 7 | + | Définie comme la [[Fibonacci number/fr|suite de Fibonacci]] mais les premiers termes sont 2 et 1. | |
| 8 | + | ||
| 9 | + | ## Méthode récursive | |
| 10 | + | ||
| 11 | + | ``` pascal | |
| 12 | + | ||
| 13 | + | function LucasNumber( n : integer ): integer; | |
| 14 | + | begin | |
| 15 | + | if n > 1 then | |
| 16 | + | result := LucasNumber( n - 1 ) + LucasNumber( n - 2 ) | |
| 17 | + | else | |
| 18 | + | if n = 0 then | |
| 19 | + | result := 2 | |
| 20 | + | else | |
| 21 | + | result := 1; | |
| 22 | + | end; | |
| 23 | + | ``` | |
| 24 | + | ||
| 25 | + | ## Emploi du [[Fibonacci number/fr|nombre de Fibonacci]] | |
| 26 | + | ||
| 27 | + | ``` pascal | |
| 28 | + | ||
| 29 | + | function LucasNumber2( n : integer ): integer; | |
| 30 | + | begin | |
| 31 | + | result := FibonacciNumber( n + 1 ) + FibonacciNumber( n - 1 ); | |
| 32 | + | end; | |
| 33 | + | ``` | |
| 34 | + | ||
| 35 | + | --- | |
| 36 | + | *From the Free Pascal wiki, page "Lucas number/fr", as it stood on 2020-02-19 after a change by Trev, out of the wiki's dump of 2024-05-26. Copyright stays with the author who wrote it, according to the old wiki's [[Licensing]] page. If you have concerns about this material, [message the admin](/wiki-contact).* |
