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Task/Catalan-numbers/FreeBASIC/catalan-numbers.freebasic

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+' FB 1.05.0 Win64
+
+Function factorial(n As UInteger) As UInteger
+  If n = 0 Then Return 1
+  Return n * factorial(n - 1)
+End Function
+
+Function catalan1(n As UInteger) As UInteger
+  Dim prod As UInteger = 1
+  For i As UInteger = n + 2 To 2 * n
+     prod *= i
+  Next
+  Return prod / factorial(n)
+End Function
+
+Function catalan2(n As UInteger) As UInteger
+  If n = 0 Then Return 1
+  Dim sum As UInteger = 0
+  For i As UInteger = 0 To n - 1
+    sum += catalan2(i) * catalan2(n - 1 - i)
+  Next
+  Return sum
+End Function
+
+Function catalan3(n As UInteger) As UInteger
+  If n = 0 Then Return 1
+  Return catalan3(n - 1) * 2 * (2 * n - 1) \ (n + 1)
+End Function
+
+Print "n", "First", "Second", "Third"
+Print "-", "-----", "------", "-----"
+Print
+For i As UInteger = 0 To 15
+  Print i,  catalan1(i), catalan2(i), catalan3(i)
+Next
+Print
+Print "Press any key to quit"
+Sleep