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A275458
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G.f.: 3F2([4/9, 5/9, 7/9], [2/3, 1], 729 x).
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1
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1, 210, 91728, 48348300, 27795877200, 16801416515520, 10492649333712000, 6704867164952174400, 4357981459741604877000, 2869985317222538272758000, 1909866367099566641482516800, 1281775836140482143996826609500, 866321769175062822028788514251300, 589012467640059218480339437176228000
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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([4/9, 5/9, 7/9], [2/3, 1], 729*x).
D-finite with recurrence n^2*(3*n-1)*a(n) -3*(9*n-5)*(9*n-4)*(9*n-2)*a(n-1)=0. - R. J. Mathar, Jul 27 2022
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EXAMPLE
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1 + 210*x + 91728*x^2 + 48348300*x^3 + ...
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MATHEMATICA
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HypergeometricPFQ[{4/9, 5/9, 7/9}, {2/3, 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([4/9, 5/9, 7/9], [2/3, 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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