Leornado Number

The Leonardo numbers are a sequence of numbers given by the recurrence: Edsger W. Dijkstra used them as an integral part of his smoothsort algorithm, and also analyzed them in some detail.

function leonardo(n)
{
  var dp = Array(n + 1).fill(0);
  dp[0] = 1;
  dp[1] = 1;
  for(var i = 2; i <= n; i++)
  {
    dp[i] = dp[i - 1] + dp[i - 2] + 1;
  }
  return dp[n];
}