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 A025762 #17 Aug 04 2024 12:43:11
%S A025762 1,1,37,1909,112483,7123123,472012183,32269160215,2256940619488,
%T A025762 160620490138312,11588554266307408,845405636848547320,
%U A025762 62239772654736987376,4617428134374127211320,344799253687326693132448
%N A025762 9th-order Vatalan numbers (generalization of Catalan numbers).
%H A025762 Vincenzo Librandi, <a href="/A025762/b025762.txt">Table of n, a(n) for n = 0..200</a>
%F A025762 G.f.: 9/(8 + (1 - 81*x)^(1/9)).
%F A025762 a(n) = (-1)^(n+1) * 9^(2*n+1) * Sum_{k>=0} (-1/8)^(k+1) * binomial(k/9,n). - _Seiichi Manyama_, Aug 04 2024
%t A025762 Table[SeriesCoefficient[9/(8 + (1 - 81 x)^(1/9)), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 29 2012 *)
%Y A025762 Cf. A000108, A025756, A025757, A025758, A025759, A025760, A025761, A025763.
%K A025762 nonn
%O A025762 0,3
%A A025762 _Olivier Gérard_