Lucas number

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Revision as of 06:42, 1 January 2008 by imported>Karsten Meyer (New page: The sequence of '''Lucas numbers''' is strong related to the sequence of Fibonacci numbers. Lucas number and Fibonacci number has the identical Formular <math>a_n = a_...)
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The sequence of Lucas numbers is strong related to the sequence of Fibonacci numbers. Lucas number and Fibonacci number has the identical Formular , and both sequences are part of the Lucas sequence with the parameter P=1 and Q=(-1).

The first few Lucas numbers are: 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ...

Properties

  • If is a Prime number, than divides .The converse is false.
  • Relationship to the Fibonacci number: