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

1,2

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

Mathematica

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

Prog

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

Crossrefs

Union of A008585 and A036554.

Cf. A084087, A084091.

Sequence in context: A079338 A047405 A175904 * A353988 A047286 A344156

Adjacent sequences: A084087 A084088 A084089 * A084091 A084092 A084093

Keyword

nonn

Author

Ralf Stephan, May 11 2003

Status

approved