Data commit

Task/Catalan-numbers/Nim/catalan-numbers.nim

@@ -0,0 +1,18 @@
+import math
+import strformat
+
+proc catalan1(n: int): int =
+  binom(2 * n, n) div (n + 1)
+
+proc catalan2(n: int): int =
+  if n == 0:
+    return 1
+  for i in 0..<n:
+    result += catalan2(i) * catalan2(n - 1 - i)
+
+proc catalan3(n: int): int =
+  if n > 0: 2 * (2 * n - 1) * catalan3(n - 1) div (1 + n)
+  else: 1
+
+for i in 0..15:
+  echo &"{i:7} {catalan1(i):7} {catalan2(i):7} {catalan3(i):7}"