This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A025763 #18 Aug 04 2024 12:43:04
%S A025763 1,1,46,2941,214486,16801306,1376657776,116346220021,10057692309166,
%T A025763 884572748725086,78862377561315156,7108473985655908626,
%U A025763 646575307673212875996,59260508917444358016516
%N A025763 10th-order Vatalan numbers (generalization of Catalan numbers).
%H A025763 Vincenzo Librandi, <a href="/A025763/b025763.txt">Table of n, a(n) for n = 0..200</a>
%F A025763 G.f.: 10/(9 + (1 - 100*x)^(1/10)).
%F A025763 a(n) = (-1)^(n+1) * 10^(2*n+1) * Sum_{k>=0} (-1/9)^(k+1) * binomial(k/10,n). - _Seiichi Manyama_, Aug 04 2024
%t A025763 Table[SeriesCoefficient[10/(9 + (1 - 100 x)^(1/10)), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 29 2012 *)
%t A025763 CoefficientList[Series[10/(9+Surd[1-100x,10]),{x,0,20}],x] (* _Harvey P. Dale_, Feb 12 2017 *)
%Y A025763 Cf. A000108, A025756, A025757, A025758, A025759, A025760, A025761, A025762.
%K A025763 nonn
%O A025763 0,3
%A A025763 _Olivier Gérard_