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 A275459 G.f.: 3F2([4/9, 5/9, 8/9], [2/3, 1], 729 x). 1
 1, 240, 111384, 61056996, 36134640360, 22349791271808, 14226080375707200, 9239577908667986880, 6091267058935364926620, 4062233028933305475849600, 2733980882372812975378956480, 1853783080629966591378982417800, 1264747920529034302126861656883140, 867379957865303554725274256161714560 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS "Other hypergeometric 'blind spots' for Christol’s conjecture" - (see Bostan link). LINKS Gheorghe Coserea, Table of n, a(n) for n = 0..300 A. Bostan, S. Boukraa, G. Christol, S. Hassani, J-M. Maillard Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity, arXiv:1211.6031 [math-ph], 2012. FORMULA G.f.: hypergeom([4/9, 5/9, 8/9], [2/3, 1], 729*x). EXAMPLE 1 + 240*x + 111384*x^2 + 61056996*x^3 + ... MATHEMATICA HypergeometricPFQ[{4/9, 5/9, 8/9}, {2/3, 1}, 729 x] + O[x]^14 // CoefficientList[#, x]& (* Jean-François Alcover, Oct 23 2018 *) PROG (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, 8/9], [2/3, 1], 729*x, N)) CROSSREFS Cf. A268545-A268555, A275051-A275054. Sequence in context: A218514 A270054 A213696 * A035281 A008696 A047806 Adjacent sequences:  A275456 A275457 A275458 * A275460 A275461 A275462 KEYWORD nonn AUTHOR Gheorghe Coserea, Jul 31 2016 STATUS approved

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Last modified July 26 22:49 EDT 2021. Contains 346300 sequences. (Running on oeis4.)