Example of how to optimize a recursive method using memoization. From Fundamentals of Computer Programming with C# http://www.introprogramming.info/wp-content/uploads/2013/07/Books/CSharpEn/Fundamentals-of-Computer-Programming-with-CSharp-Nakov-eBook-v2013.pdf
static long[] numbers;
static void Main()
{
Console.Write("n = ");
int n = int.Parse(Console.ReadLine());
numbers = new long[n + 2];
numbers[1] = 1;
numbers[2] = 1;
long result = Fib(n);
Console.WriteLine("fib({0}) = {1}", n, result);
}
static long Fib(int n)
{
if (0 == numbers[n])
{
numbers[n] = Fib(n - 1) + Fib(n - 2);
}
return numbers[n];
}
// n = 100
// fib(100) = 3736710778780434371