cache = {};
function cachedFibonacci(num) {
  if (num <= 1) {
	cache[num] = 1;
	return 1;
  } else if (cache[num]) {
	return cache[num];
  }

  const result = cachedFibonacci(num - 1) + cachedFibonacci(num - 2);
  cache[num] = result;
  return result;
}

function fibonacciSequence(max, seq = [], current = 0) {
  if (current <= max) {
  	seq.push(cachedFibonacci(current));
    return fibonacciSequence(max, seq, current + 1);
  } else {
  	return seq;
  }
}