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A295441
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a(n) = (9*n)!*n!/((5*n)!*(3*n)!*(2*n)!).
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1
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1, 252, 204204, 191222460, 190004674860, 195022529167752, 204320742803699340, 217111359982448115765, 233102038867603938770220, 252255185100017685406870560, 274687728872310943504451521704, 300625891932698784845526074953032, 330384570746416514397560106035996940
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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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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).
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MATHEMATICA
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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 *)
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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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