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A161581
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a(n) = (3n)!/(n!(n+1)!(n+2)!).
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3
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21, 231, 3003, 43758, 692835, 11685817, 207157665, 3823000545, 72931087320, 1430571328200, 28734046963560, 589047962752980, 12292044987448215, 260543149635912165, 5599392250947235125, 121830987186399315825
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OFFSET
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3,1
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COMMENTS
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3-d analog of the Catalan numbers A000108.
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LINKS
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FORMULA
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MAPLE
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a := proc (n) options operator, arrow: factorial(3*n)/(factorial(n)*factorial(n+1)*factorial(n+2)) end proc: seq(a(n), n = 3 .. 20); # Emeric Deutsch, Jun 14 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Repetitions of information contained in other sequences removed by R. J. Mathar, Jun 16 2009
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STATUS
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approved
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