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A295441 a(n) = (9*n)!*n!/((5*n)!*(3*n)!*(2*n)!). 1

%I #10 Jul 29 2021 10:21:18

%S 1,252,204204,191222460,190004674860,195022529167752,

%T 204320742803699340,217111359982448115765,233102038867603938770220,

%U 252255185100017685406870560,274687728872310943504451521704,300625891932698784845526074953032,330384570746416514397560106035996940

%N a(n) = (9*n)!*n!/((5*n)!*(3*n)!*(2*n)!).

%F G.f.: hypergeom([1/9, 2/9, 4/9, 5/9, 7/9, 8/9], [1/5, 2/5, 1/2, 3/5, 4/5], 14348907/12500*x).

%t f[n_] := (9n)! n!/((5n)! (3n)! (2n)!); Array[f, 13, 0] (* or *) CoefficientList[ Series[ HypergeometricPFQ[{1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, {1/5, 2/5, 1/2, 3/5, 4/5}, 14348907/12500 x], {x, 0, 12}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)

%Y Cf. A295431.

%K nonn

%O 0,2

%A _Gheorghe Coserea_, Nov 23 2017

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)