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A001450
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Binomial(5*n,2*n).
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1
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1, 10, 210, 5005, 125970, 3268760, 86493225, 2319959400, 62852101650, 1715884494940, 47129212243960, 1300853625660225, 36052387482172425, 1002596421878664480, 27963143931814663880, 781879430625942976880
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) equals 2F1[-3n,-2n,1,1] (see Mathematica code below). [From John M. Campbell, Jul 15 2011]
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
| (5*n)!/((3*n)!*(2*n)!).
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MAPLE
| f := n->(5*n)!/((3*n)!*(2*n)!);
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MATHEMATICA
| Table[Hypergeometric2F1[-3n, -2n, 1, 1], {n, 0, 60}] (* From John M. Campbell, Jul 15 2011 *)
Table[Binomial[5n, 2n], {n, 0, 20}] (* From Harvey P. Dale, Nov 09 2011 *)
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CROSSREFS
| Cf. A001451, A001459, A001460.
Sequence in context: A067642 A052245 A052246 * A076803 A120596 A112364
Adjacent sequences: A001447 A001448 A001449 * A001451 A001452 A001453
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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