%I #15 Jan 31 2021 20:28:07
%S 1,1,46,2941,214486,16801306,1376657776,116346220021,10057692309166,
%T 884572748725086,78862377561315156,7108473985655908626,
%U 646575307673212875996,59260508917444358016516
%N 10th-order Vatalan numbers (generalization of Catalan numbers).
%H Vincenzo Librandi, <a href="/A025763/b025763.txt">Table of n, a(n) for n = 0..200</a>
%F G.f.: 10/(9 + (1 - 100*x)^(1/10)).
%t Table[SeriesCoefficient[10/(9 + (1 - 100 x)^(1/10)), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 29 2012 *)
%t CoefficientList[Series[10/(9+Surd[1-100x,10]),{x,0,20}],x] (* _Harvey P. Dale_, Feb 12 2017 *)
%K nonn
%O 0,3
%A _Olivier GĂ©rard_
|