recursion in array to find odd numbers and push to new variable

I tried to recursion those arrays to find odd/even numbers then push them to newArr but the result, not an array, that result is the string with numbers the result after found the odd/even numbers.

this is the code i wrote,

function odd(nums){
  var result = [];
  if(nums.length === 0) {
    return result;
  } else  if (nums[0] % 2 === 0){
    result.push(nums[0])
    // return odd(nums.slice(1))
  };
  return result + odd(nums.slice(1));
};

var arr = [1,8,3,4,4,5,9,13,13,9,10];
var print = odd(arr);
console.log(print)

if i don't write return result + odd(nums.slice(1)); the result nothing / undefined,

can anyone help me to explain why that result in a string, not an array I wanted