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.

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, 45, 46, 48, 50, 51, 54, 56, 57, 58, 60, 62, 63, 66, 69, 70, 72, 74, 75, 78, 81, 82, 84, 86, 87, 88, 90, 93, 94, 96, 98, 99, 102, 104, 105, 106, 108, 110, 111

Offset: 1

Author

Ralf Stephan, May 11 2003

Keywords

• nonn

Comments

Numbers that are either in A008585 or A036554.

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]

Positions of 0 in the expansion of Sum_{k>=0} x^2^k/(1+x^2^k+x^2^(k+1)) (A084091).

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Union of A008585 and A036554.

Cf. A084087, A084091.

Programs

Mathematica

Select[Range[0,120],Divisible[#,3]||OddQ[IntegerExponent[#,2]]&] (* Harvey P. Dale, Jul 26 2017 *)

PARI

for(n=0,300,if(valuation(n,2)%2||n%3==0,print1(n",")))