diff --git a/medium/lexicographical_numbers.py b/medium/lexicographical_numbers.py
new file mode 100644
index 0000000..ccb29bb
--- /dev/null
+++ b/medium/lexicographical_numbers.py
@@ -0,0 +1,20 @@
+# https://leetcode.com/problems/lexicographical-numbers
+
+from typing import List
+
+class Solution:
+    def lexicalOrder(self, n: int) -> List[int]:
+        result: List[int] = []
+        s: List[int] = [int(x) for x in list(str(n))]
+        def iterate(curr: int, length: int, curr_index: int):
+            if curr_index >= len(s):
+                return
+            for num in range(1 if curr_index == 0 else 0, 10):
+                new_curr = (curr * 10) + num
+                if new_curr > n:
+                    break
+                result.append(new_curr)
+                iterate(new_curr, length + 1, curr_index + 1)
+
+        iterate(0, 0, 0)
+        return result