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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.
3
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
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.
Sequence in context: A079338 A047405 A175904 * A353988 A373085 A047286
KEYWORD
nonn
AUTHOR
Ralf Stephan, May 11 2003
STATUS
approved