In mathematics, Fibonacci coding is a universal code which encodes positive integers into binary code words
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Here is a good answer for recursion Fibonacci series. #include <stdio.h> #include <conio.h> long Fibonacci(long n); int main() { long r, n,i; printf("Enter the value of n: "); scanf("%ld",&n); for(i=0;i<=n;i++) { printf(" Fibonacci(%ld)= %ld\n", i,Fibonacci(i)); } getch(); return 0; } long Fibonacci(long n) { if(n==0 n==1) return n; else { return (Fibonacci(n-1)+Fibonacci(n-2)); } } for n=5; Output: Fibonacci(0)=0 Fibonacci(1)=1 Fibonacci(2)=1 Fibonacci(3)=2 Fibonacci(4)=3 Fibonacci(5)=5
The Fibonacci sequence uses recursion to derive answers. It is defined as: F0 = 0 F1 = 1 Fn = F(n - 1) + F(n -2) To have this sequence printed by a php script use the following: function fibonacci($n) { if($n 1) return 1; //F1 else return fibonacci($n - 1) + fibonacci($n - 2); //Fn } This recursive function will print out the Fibonacci number for the integer n. To make it print out all the numbers in a particular set add this to your script. for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } So your final result would look like. <?php function fibonacci($n) { if($n 1) return 1; else return fibonacci($n - 1) + fibonacci($n - 2); } for($i = 0; $i < 15; $i++) { echo fibonacci($i) . "<br />"; } ?>
(defun fibo (n) (if (< n 2) n (return (+ (fibo (- n 1)) (fibo (- n 2))))))
Use a lookup table. The first two elements are 0 and 1 and each subsequent element is the sum of the preceding two elements. The table needn't be very large as there are only 43 Fibonacci numbers in the range 0 to 1 billion. If you need larger numbers, use long doubles.