Leonardo number

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Leonardo number

The Leonardo Sequence is the series of numbers:

1, 1, 3, 5, 9, 15, 25 ...

Recursive way

function LeonardoNumber( n : integer ):integer;
begin
  if n > 1 then result := LeonardoNumber( n - 1 ) + LeonardoNumber( n - 2 ) + 1
    else result := 1;
end;

Making use of Fibonacci numbers

function LeonardoNumber2( n : integer ):integer;
begin
  result := 2 * FibonacciNumber( n + 1) - 1
end;