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A025763
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10th-order Vatalan numbers (generalization of Catalan numbers).
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1
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1, 1, 46, 2941, 214486, 16801306, 1376657776, 116346220021, 10057692309166, 884572748725086, 78862377561315156, 7108473985655908626, 646575307673212875996, 59260508917444358016516
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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.: 10/(9 + (1 - 100*x)^(1/10)).
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MATHEMATICA
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Table[SeriesCoefficient[10/(9 + (1 - 100 x)^(1/10)), {x, 0, n}], {n, 0, 20}] (* Vincenzo Librandi, Dec 29 2012 *)
CoefficientList[Series[10/(9+Surd[1-100x, 10]), {x, 0, 20}], x] (* Harvey P. Dale, Feb 12 2017 *)
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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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