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A186414
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Binomial(2n,n)^3/(n+1)^2.
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5
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1, 2, 24, 500, 13720, 444528, 16099776, 631628712, 26317863000, 1149330319280, 52120705189696, 2437827529099872, 117006104720150464, 5740095404246000000, 286939169121965760000, 14579498741074214418000
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..15.
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FORMULA
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G.f.: 3F2({1/2, 1/2, 1/2}, {2, 2}, 64x), where 3F2 is a hypergeometric function.
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MATHEMATICA
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Table[Binomial[2n, n]^3/(n + 1)^2, {n, 0, 20}]
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PROG
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(Maxima) makelist(binomial(2*n, n)^3/(n+1)^2, n, 0, 40);
(MAGMA) [Binomial(2*n, n)^3/(n+1)^2: n in [0..50]]; - Vincenzo Librandi, Mar 27 2011
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CROSSREFS
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Cf. A000108, A002894, A000888, A002897.
Sequence in context: A052712 A133413 A012236 * A187658 A138450 A054946
Adjacent sequences: A186411 A186412 A186413 * A186415 A186416 A186417
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KEYWORD
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nonn,easy
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AUTHOR
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Emanuele Munarini, Feb 21 2011
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STATUS
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approved
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