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 A186414 Binomial(2n,n)^3/(n+1)^2. 5
 1, 2, 24, 500, 13720, 444528, 16099776, 631628712, 26317863000, 1149330319280, 52120705189696, 2437827529099872, 117006104720150464, 5740095404246000000, 286939169121965760000, 14579498741074214418000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA G.f.: 3F2({1/2, 1/2, 1/2}, {2, 2}, 64x), where 3F2 is a hypergeometric function. MATHEMATICA Table[Binomial[2n, n]^3/(n + 1)^2, {n, 0, 20}] PROG (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 CROSSREFS Cf. A000108, A002894, A000888, A002897. Sequence in context: A052712 A133413 A012236 * A187658 A138450 A054946 Adjacent sequences:  A186411 A186412 A186413 * A186415 A186416 A186417 KEYWORD nonn,easy AUTHOR Emanuele Munarini, Feb 21 2011 STATUS approved

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