Catalan numbers: Difference between revisions
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[[File:Fōrmulæ - Catalan numbers 01.png]]
[[File:Fōrmulæ - Catalan numbers
'''Direct definition (alternative)'''
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The next function make use of the "second" form of recursive definition (without recursion):
[[File:Fōrmulæ - Catalan numbers
[[File:Fōrmulæ - Catalan numbers 05.png]]
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=={{header|langur}}==
{{trans|Perl}}
<syntaxhighlight lang="langur">val
val .catalan = f(.n) .factorial(2 x .n) / .factorial(.n+1) / .factorial(.n)▼
for .i in 0..15 {▼
writeln $"\.i:2;: \(.catalan(.i):10)"▼
}
writeln "10000: ",
</syntaxhighlight>
{{out}}
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{{libheader|Wren-fmt}}
{{libheader|Wren-math}}
<syntaxhighlight lang="
import "./math" for Int
var catalan = Fn.new { |n|
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15 9694845
</pre>
=={{header|XLISP}}==
<syntaxhighlight lang="lisp">(defun catalan (n)
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