Sunday, October 7, 2012

Lucas Series

Same like Fibonacci Lucas follow this definition :-

(L(n)) | L(n) = L(n-1) + L(n-2) , L(1) = 1 , L(0) = 2

See this link for further info http://en.wikipedia.org/wiki/Lucas_number

Properties of Lucas Series:
1. L(n) = F(n-1) + F(n+1)
2. L(m+n) = L(m+1)F(n) + L(m)F(n-1)
3. F( 2n ) = L(n)F(n)
4. F(n) = (L(n-1) + L(n+1)) / 5

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