Data commit

Task/Lah-numbers/Python/lah-numbers.py

@@ -0,0 +1,35 @@
+from math import (comb,
+                  factorial)
+
+
+def lah(n, k):
+    if k == 1:
+        return factorial(n)
+    if k == n:
+        return 1
+    if k > n:
+        return 0
+    if k < 1 or n < 1:
+        return 0
+    return comb(n, k) * factorial(n - 1) // factorial(k - 1)
+
+
+def main():
+    print("Unsigned Lah numbers: L(n, k):")
+    print("n/k ", end='\t')
+    for i in range(13):
+        print("%11d" % i, end='\t')
+    print()
+    for row in range(13):
+        print("%-4d" % row, end='\t')
+        for i in range(row + 1):
+            l = lah(row, i)
+            print("%11d" % l, end='\t')
+        print()
+    print("\nMaximum value from the L(100, *) row:")
+    max_val = max(lah(100, a) for a in range(100))
+    print(max_val)
+
+
+if __name__ == '__main__':
+    main()