Information AboutLucas Number |
| CATEGORIES ABOUT LUCAS NUMBER | |
| integer sequences | |
| fibonacci numbers | |
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However, the first two Lucas numbers are ''L''0 = 2 and ''L''1 = 1 instead of 0 and 1, and the properties of the Lucas sequence are therefore somewhat different from those of the Fibonacci sequence. The sequence of Lucas numbers begins: : 2 , 1 , 3 , 4 , 7 , 11 , 18 , 29 , 47 , 76 , 123, ... The Lucas numbers are related to the Fibonacci numbers by the identities : : Their closed formula is given as: : where is the golden ratio. SEE ALSO EXTERNAL LINKS |
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