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A275460
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G.f.: 3F2([2/9, 4/9, 7/9], [1/3, 1], 729 x).
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1
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1, 168, 72072, 37752000, 21636143100, 13053584427840, 8141901337189620, 5198083656717631680, 3376354693360163389875, 2222371681246143931063560, 1478289894198059998030179204, 991793399749992922720024531872, 670139971927397485144595595426978, 455519420546971097210713116712430400
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OFFSET
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0,2
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COMMENTS
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"Other hypergeometric 'blind spots' for Christol’s conjecture" - (see Bostan link).
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LINKS
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FORMULA
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G.f.: hypergeom([2/9, 4/9, 7/9], [1/3, 1], 729*x).
D-finite with recurrence n^2*(3*n-2)*a(n) -3*(9*n-7)*(9*n-5)*(9*n-2)*a(n-1)=0. - R. J. Mathar, Jul 27 2022
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EXAMPLE
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1 + 168*x + 72072*x^2 + 37752000*x^3 + ...
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MATHEMATICA
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HypergeometricPFQ[{2/9, 4/9, 7/9}, {1/3, 1}, 729 x] + O[x]^14 // CoefficientList[#, x]& (* Jean-François Alcover, Oct 23 2018 *)
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PROG
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(PARI) \\ system("wget http://www.jjj.de/pari/hypergeom.gpi");
read("hypergeom.gpi");
N = 12; x = 'x + O('x^N);
Vec(hypergeom([2/9, 4/9, 7/9], [1/3, 1], 729*x, N))
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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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