javascriptfibonaccipascals-triangle

JavaScript - Right Pascal pattern with the Fibonacci sequence


I'm trying to create a Pascal triangle using the Fibonacci sequence. I´m looking for this output:

0
0 1
0 1 1
0 1 1 2
0 1 1 2 3
0 1 1 2 3 5
0 1 1 2 3 5 8 
0 1 1 2 3 5
0 1 1 2 3
0 1 1 2
0 1 1
0 1
0

This is the code I have written so far. I managed to get the Fibonacci sequence running into a triangle but not the way I want.

function fiboP(n) {
  let string = "";
  let n1 = 0
  let n2 = 1
  for (let i = 1; i <= n; i++) {
    for (let j = 0; j < i; j++) {
      string += n1 + " ";
      next_num = n1 + n2;
      n1 = n2;
      n2 = next_num;
    }
    string += "\n";
  }
  for (let i = 1; i <= n - 1; i++) {
    for (let j = 0; j < n - i; j++) {
      string += n1 + " ";
      next_num = n2 - n1;
      n2 = n1;
      n1 = next_num;
    }
    string += "\n";

  }
  console.log(string)
}


fiboP(5)

Output:
0 
1 1 
2 3 5 
8 13 21 34 
55 89 144 233 377 
610 377 233 144 
89 55 34 
21 13 
8

I would like to understand what I am missing here and if there is a cleaner and simpler way to produce the desired output.


Solution

  • If you reset your values when you go to next line, you should be able to generate the output you're looking for

    function fiboP(n) {
      let string = "";
      for (let i = 1; i <= n; i++) {
        let n1 = 0
        let n2 = 1
        for (let j = 0; j < i; j++) {
          string += n1 + " ";
          next_num = n1 + n2;
          n1 = n2;
          n2 = next_num;
        }
        string += "\n";
      }
      for (let i = 1; i <= n - 1; i++) {
        let n1 = 0
        let n2 = 1
        for (let j = 0; j < n - i; j++) {
          string += n1 + " ";
          next_num = n2 + n1;
          n2 = n1;
          n1 = next_num;
        }
        string += "\n";
    
      }
      console.log(string)
    }
    
    
    fiboP(7)

    As an improvement i will suggest finding fibonacci sequence once and then just using these values to create this triangle.