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Task/Catalan-numbers/BASIC/catalan-numbers.basic
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18
Task/Catalan-numbers/BASIC/catalan-numbers.basic
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DECLARE FUNCTION catalan (n as INTEGER) AS SINGLE
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REDIM SHARED results(0) AS SINGLE
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FOR x% = 1 TO 15
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PRINT x%, catalan (x%)
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NEXT
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FUNCTION catalan (n as INTEGER) AS SINGLE
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IF UBOUND(results) < n THEN REDIM PRESERVE results(n)
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IF 0 = n THEN
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results(0) = 1
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ELSE
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results(n) = ((2 * ((2 * n) - 1)) / (n + 1)) * catalan(n - 1)
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END IF
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catalan = results(n)
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END FUNCTION
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