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 A083097 #26 Jun 29 2025 11:08:05 %S A083097 0,2,5,6,14,15,18,20,41,42,45,47,54,56,59,60,122,123,126,128,135,137, %T A083097 140,141,162,164,167,168,176,177,180,182,365,366,369,371,378,380,383, %U A083097 384,405,407,410,411,419,420,423,425,486,488,491,492,500 %N A083097 a(n) = A083096(n)/6. %C A083097 Is this the same as A083095? - _Andrew S. Plewe_, May 30 2007 %C A083097 Apparently (2*a(n)) mod 3 = A010060(n-1), the Thue-Morse sequence. %H A083097 Michel Marcus, <a href="/A083097/b083097.txt">Table of n, a(n) for n = 1..8192</a> %t A083097 Join[{0},Position[Accumulate[Table[Binomial[2 j, j], {j, 3000}]], _?(Divisible[#, 3] &)]//Flatten]/6 (* _Paul F. Marrero Romero_, Dec 30 2024 *) %Y A083097 Cf. A010060, A083095, A083096. %K A083097 nonn,easy %O A083097 1,2 %A A083097 _Benoit Cloitre_, Apr 22 2003