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%I #13 Jan 31 2021 20:33:36
%S 1,1,37,1909,112483,7123123,472012183,32269160215,2256940619488,
%T 160620490138312,11588554266307408,845405636848547320,
%U 62239772654736987376,4617428134374127211320,344799253687326693132448
%N 9th-order Vatalan numbers (generalization of Catalan numbers).
%H Vincenzo Librandi, <a href="/A025762/b025762.txt">Table of n, a(n) for n = 0..200</a>
%F G.f.: 9/(8 + (1 - 81*x)^(1/9)).
%t Table[SeriesCoefficient[9/(8 + (1 - 81 x)^(1/9)), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 29 2012 *)
%K nonn
%O 0,3
%A _Olivier Gérard_
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