Lucas number
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Lucas number
The Lucas Sequence is the series of numbers:
2, 1, 3, 4, 7, 11, 18, 29, 47, ...
Recursive way
function LucasNumber( n : integer ): integer;
begin
if n > 1 then
result := LucasNumber( n - 1 ) + LucasNumber( n - 2 )
else
if n = 0 then
result := 2
else
result := 1;
end;Making use of Fibonacci numbers
function LucasNumber2( n : integer ): integer;
begin
result := FibonacciNumber( n + 1 ) + FibonacciNumber( n - 1 );
end;