ZCubes/Pascal Triangle and Fibonacci

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Pascal Triangle and Fibonacci

Pascal triangle can be generated easily in ZCubes. This video shows pattern of Fibonacci series using Pascal triangle using ZCubes.

Video

Pascal Triangle and Fibonacci

Code - Fibonacci and Pascal Triangle

m=10;
   pt=PASCALTRIANGLE(m);
   a=pt
      .map(
       function(r,i)
        {
         var prefix=(REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
           return(
                prefix
                 .concat(r.join(", ,").split(","))
                 .concat(prefix)
            )
        }
     );
 (a);

FIBONNACI(100)

b=PASCALTRIANGLE(100)
b.map(
   	function calcfib(r,i,d)
  	{
      		var fib=0;
    		var j=0;
          		for(var xi=i;xi>=0;xi--)
       	   	{
        	    		fib+=isNaN(d[xi][j])?0:d[xi][j];
       	   		j++;
                       }
             		return(fib)
       }
     )