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 A084090 #13 Jan 16 2022 08:19:17
%S A084090 0,2,3,6,8,9,10,12,14,15,18,21,22,24,26,27,30,32,33,34,36,38,39,40,42,
%T A084090 45,46,48,50,51,54,56,57,58,60,62,63,66,69,70,72,74,75,78,81,82,84,86,
%U A084090 87,88,90,93,94,96,98,99,102,104,105,106,108,110,111
%N A084090 Numbers k such that k is divisible by 3 or the exponent of the highest power of 2 dividing k is odd. Complement of A084087.
%C A084090 Numbers that are either in A008585 or A036554.
%C A084090 It seems that lim_{n->inf} a(n)/n = 9/5. [This is true. The asymptotic density of this sequence is 5/9. - _Amiram Eldar_, Jan 16 2022]
%C A084090 Positions of 0 in the expansion of Sum_{k>=0} x^2^k/(1+x^2^k+x^2^(k+1)) (A084091).
%H A084090 Amiram Eldar, <a href="/A084090/b084090.txt">Table of n, a(n) for n = 1..10000</a>
%t A084090 Select[Range[0,120],Divisible[#,3]||OddQ[IntegerExponent[#,2]]&] (* _Harvey P. Dale_, Jul 26 2017 *)
%o A084090 (PARI) for(n=0,300,if(valuation(n,2)%2||n%3==0,print1(n",")))
%Y A084090 Union of A008585 and A036554.
%Y A084090 Cf. A084087, A084091.
%K A084090 nonn
%O A084090 1,2
%A A084090 _Ralf Stephan_, May 11 2003