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A025761
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8th-order Vatalan numbers (generalization of Catalan numbers).
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1
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1, 1, 29, 1177, 54629, 2726977, 142504685, 7685245225, 424109499317, 23818681210961, 1356315674712509, 78100982458201017, 4538960021319997189, 265837773438037013857, 15672475449746510425485
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internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: 8/(7 + (1 - 64*x)^(1/8)).
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MATHEMATICA
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Table[SeriesCoefficient[8/(7 + (1 - 64 x)^(1/8)), {x, 0, n}], {n, 0, 20}] (* Vincenzo Librandi, Dec 29 2012 *)
CoefficientList[Series[8/(7+Surd[1-64x, 8]), {x, 0, 20}], x] (* Harvey P. Dale, Jun 19 2022 *)
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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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