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A025763 10th-order Vatalan numbers (generalization of Catalan numbers). 1
1, 1, 46, 2941, 214486, 16801306, 1376657776, 116346220021, 10057692309166, 884572748725086, 78862377561315156, 7108473985655908626, 646575307673212875996, 59260508917444358016516 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

G.f.: 10/(9 + (1 - 100*x)^(1/10)).

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A234153 A123830 A201234 * A223884 A223891 A243648

Adjacent sequences:  A025760 A025761 A025762 * A025764 A025765 A025766

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified March 1 03:32 EST 2021. Contains 341732 sequences. (Running on oeis4.)