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A186231
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Expansion of ( 2F1([-1/4, 1/4]; [-1/2], 16*x) - 1 ) / (2*x).
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2
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1, 15, 210, 3003, 43758, 646646, 9657700, 145422675, 2203961430, 33578000610, 513791607420, 7890371113950, 121548660036300, 1877405874732108, 29065024282889672, 450883717216034179, 7007092303604022630, 109069992321755544170, 1700179760011004467468, 26536589497469056215210, 414670662257153823494820
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OFFSET
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0,2
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COMMENTS
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Combinatorial interpretation welcome.
Probably a class of paths (Cf. A135404, A000888).
Number of North-East lattice paths from (0,0) to (n,n+1). - Michael D. Weiner, Apr 14 2017
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
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a(n) = A001791(2n+1). - R. J. Mathar, Jul 10 2012
D-finite with recurrence -(n+1)*(2*n-1)*a(n) +2*(4*n-1)*(4*n+1)*a(n-1)=0. - R. J. Mathar, Apr 26 2017
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MATHEMATICA
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CoefficientList[Series[(HypergeometricPFQ[{-(1/4), 1/4}, {-(1/2)}, 16 x] - 1)/(2 x), {x, 0, 20}], x]
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CROSSREFS
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Cf. A186229.
Sequence in context: A170648 A170696 A170734 * A001880 A240682 A113362
Adjacent sequences: A186228 A186229 A186230 * A186232 A186233 A186234
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KEYWORD
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nonn
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AUTHOR
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Olivier Gérard, Feb 15 2011
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STATUS
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approved
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