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/* 
   Calculo del número áureo a partir de la sucesión de Fibonacci
   Autor: Enrique Benimeli
   Publicado en www.esferatic.com
*/

/*
    Copyright (C) 2012  Enrique Benimeli

This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/

import java.util.*;
import java.lang.*;

class Rextester {
    
    public static void main(String args[]) {
        final int n = 40;
        int i = 0;
        int j = 1;
        double aureo = 1;
        System.out.println("fibonacci(0) = 0");
        System.out.println("fibonacci(1) = 1");

for(int k=2; k<n; k++) {
            int t = i + j;
            if(i!=0) {
                aureo = (double)j/(double)i;
                System.out.println("phi = " + aureo);
            }
            System.out.println(
                "fibonacci("+ k + ") = " + t);
            i = j;
            j = t;
        }
        System.out.println("");
    }
}

[ + ] Show input
Compilation time: 0.43 sec, absolute running time: 0.15 sec, cpu time: 0.07 sec, memory peak: 10 Mb, absolute service time: 0.73 sec

fibonacci(0) = 0 fibonacci(1) = 1 fibonacci(2) = 1 phi = 1.0 fibonacci(3) = 2 phi = 2.0 fibonacci(4) = 3 phi = 1.5 fibonacci(5) = 5 phi = 1.6666666666666667 fibonacci(6) = 8 phi = 1.6 fibonacci(7) = 13 phi = 1.625 fibonacci(8) = 21 phi = 1.6153846153846154 fibonacci(9) = 34 phi = 1.619047619047619 fibonacci(10) = 55 phi = 1.6176470588235294 fibonacci(11) = 89 phi = 1.6181818181818182 fibonacci(12) = 144 phi = 1.6179775280898876 fibonacci(13) = 233 phi = 1.6180555555555556 fibonacci(14) = 377 phi = 1.6180257510729614 fibonacci(15) = 610 phi = 1.6180371352785146 fibonacci(16) = 987 phi = 1.618032786885246 fibonacci(17) = 1597 phi = 1.618034447821682 fibonacci(18) = 2584 phi = 1.6180338134001253 fibonacci(19) = 4181 phi = 1.618034055727554 fibonacci(20) = 6765 phi = 1.6180339631667064 fibonacci(21) = 10946 phi = 1.6180339985218033 fibonacci(22) = 17711 phi = 1.618033985017358 fibonacci(23) = 28657 phi = 1.6180339901755971 fibonacci(24) = 46368 phi = 1.618033988205325 fibonacci(25) = 75025 phi = 1.618033988957902 fibonacci(26) = 121393 phi = 1.6180339886704431 fibonacci(27) = 196418 phi = 1.6180339887802426 fibonacci(28) = 317811 phi = 1.618033988738303 fibonacci(29) = 514229 phi = 1.6180339887543225 fibonacci(30) = 832040 phi = 1.6180339887482036 fibonacci(31) = 1346269 phi = 1.6180339887505408 fibonacci(32) = 2178309 phi = 1.6180339887496482 fibonacci(33) = 3524578 phi = 1.618033988749989 fibonacci(34) = 5702887 phi = 1.618033988749859 fibonacci(35) = 9227465 phi = 1.6180339887499087 fibonacci(36) = 14930352 phi = 1.6180339887498896 fibonacci(37) = 24157817 phi = 1.618033988749897 fibonacci(38) = 39088169 phi = 1.618033988749894 fibonacci(39) = 63245986