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 A356698 #8 Aug 25 2022 08:47:28 %S A356698 1,1,2,5,14,41,125,389,1220,3829,12091,38237,120869,382000,1208863, %T A356698 3824981,12098811,38272739,121105815,383157721,1212151630,3835001361, %U A356698 12133807832,38388624860,121452176437,384255298818,1215726271065,3846304406380,12168956318213 %N A356698 Number of Catalan words of length n avoiding the pattern 00000. %H A356698 Alois P. Heinz, <a href="/A356698/b356698.txt">Table of n, a(n) for n = 0..1000</a> %H A356698 Jean-Luc Baril, Sergey Kirgizov and Vincent Vajnovszki, <a href="https://arxiv.org/abs/1803.06706">Descent distribution on Catalan words avoiding a pattern of length at most three</a>, arXiv:1803.06706 [math.CO], 2018. %H A356698 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,3,9,28,-37,-54,-37,25,10,-1) %F A356698 G.f.: -(4*x^9-40*x^7-32*x^6-3*x^5+34*x^4+9*x^3+2*x^2-1) / (x^10 -10*x^9 -25*x^8 +37*x^7 +54*x^6 +37*x^5 -28*x^4 -9*x^3 -3*x^2 -x +1). %Y A356698 Cf. A000108, A307464, A356697. %K A356698 nonn,easy %O A356698 0,3 %A A356698 _Alois P. Heinz_, Aug 23 2022