ZCubes/Pascal Triangle and Fibonacci

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)
          	}
    )

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