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If a Fibonacci sequence (in which each term in the sequence is the sum of the previous t terms) is formed, with is the first ‘t’ terms being the decimal digits of the number n, then n itself occurs as a term in the sequence.
For example,
14 is a Keith number
Because it generates the sequence:-
1, 4, 5, 9, 14
(1+4)=5, (5+9)=14, (9+14)=23………
Some keith numbers are: 14 ,19, 28 , 47 , 61, 75, 197….
import java.io.*;
import java.util.*;
class Keith
public static void main(String args[])
Scanner sc=new Scanner(System.in);
System.out.print(“Enter the number : “); //inputting the number
int n=sc.nextInt();

int copy=n;
String s=Integer.toString(n);
int d=s.length(); //finding the number of digits (d) in the number
int arr[]=new int[n]; //array for storing the terms of the series

for(int i=d-1; i>=0; i–)
arr[i]=copy%10; //storing the digits of the number in the array


int i=d,sum=0;
while(sum<n) //finding the sum till it is less than the number
sum = 0;
for(int j=1; j<=d; j++) //loop for generating and adding the previous ‘d’ terms
arr[i]=sum; //storing the sum in the array

if(sum==n) //if sum is equal to the number, then it is a Keith number
System.out.println(“The number is a Keith Number”);
System.out.println(“The number is a not a Keith Number”);

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Blue Java Program For Keith Number