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A014231
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(Product of 3 successive Catalan numbers)/2.
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1
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1, 5, 70, 1470, 38808, 1189188, 40489020, 1491345570, 58388438680, 2400295633736, 102692368441936, 4542162450316400, 206643434552856000, 9631060074695610000, 458381806260954003000, 22220282755463598704250, 1094733022441519300455000, 54717445279576990999935000
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OFFSET
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0,2
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LINKS
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FORMULA
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 1,
8*(2*n-1)*(2*n+1)*(2*n+3)*a(n-1)/((n+1)*(n+2)*(n+3)))
end:
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MATHEMATICA
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Times@@@Partition[CatalanNumber[Range[0, 20]], 3, 1]/2 (* Harvey P. Dale, Apr 10 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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