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A275460 G.f.: 3F2([2/9, 4/9, 7/9], [1/3, 1], 729 x). 1
1, 168, 72072, 37752000, 21636143100, 13053584427840, 8141901337189620, 5198083656717631680, 3376354693360163389875, 2222371681246143931063560, 1478289894198059998030179204, 991793399749992922720024531872, 670139971927397485144595595426978, 455519420546971097210713116712430400 (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([2/9, 4/9, 7/9], [1/3, 1], 729*x).

EXAMPLE

1 + 168*x + 72072*x^2 + 37752000*x^3 + ...

MATHEMATICA

HypergeometricPFQ[{2/9, 4/9, 7/9}, {1/3, 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([2/9, 4/9, 7/9], [1/3, 1], 729*x, N))

CROSSREFS

Cf. A268545-A268555, A275051-A275054.

Sequence in context: A282375 A289327 A130215 * A275456 A185404 A146200

Adjacent sequences:  A275457 A275458 A275459 * A275461 A275462 A275463

KEYWORD

nonn

AUTHOR

Gheorghe Coserea, Jul 31 2016

STATUS

approved

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Last modified October 22 05:36 EDT 2021. Contains 348160 sequences. (Running on oeis4.)