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A225858
Numbers of the form 2^i*3^j*(12k+7) or 2^i*3^j*(12k+11), i, j, k >= 0.
3
7, 11, 14, 19, 21, 22, 23, 28, 31, 33, 35, 38, 42, 43, 44, 46, 47, 55, 56, 57, 59, 62, 63, 66, 67, 69, 70, 71, 76, 79, 83, 84, 86, 88, 91, 92, 93, 94, 95, 99, 103, 105, 107, 110, 112, 114, 115, 118, 119, 124, 126, 127, 129, 131, 132, 134, 138, 139, 140
OFFSET
1,1
COMMENTS
The asymptotic density of this sequence is 1/2. - Amiram Eldar, Nov 14 2023
LINKS
EXAMPLE
From David A. Corneth, Nov 11 2023: (Start)
28 = 2^2 * 7 = 2^2 * 3^0 * (12*0 + 7) is in the sequence as it meets the first form.
76 = 2^2 * 19 = 2^2 * 3^0 * (12*1 + 7) is in the sequence as it meets the first form.
15 = 3 * 5 = 2^0 * 3^1 * (12*0 + 5) is not in the sequence as it does not match any of the desired forms. (End)
MATHEMATICA
Select[Range[140], Mod[#/Times @@ ({2, 3}^IntegerExponent[#, {2, 3}]), 4] == 3 &] (* Amiram Eldar, Nov 14 2023 *)
PROG
(PARI) for(n=1, 200, t=n/(2^valuation(n, 2)*3^valuation(n, 3)); if((t%4==3), print1(n, ", ")))
(Magma) [n: n in [1..200] | d mod 4 eq 3 where d is n div (2^Valuation(n, 2)*3^Valuation(n, 3))]; // Bruno Berselli, May 16 2013
CROSSREFS
Complement of A225857. Cf. A225838.
Sequence in context: A118797 A080837 A168135 * A120687 A194468 A053217
KEYWORD
nonn,easy
AUTHOR
Ralf Stephan, May 18 2013
EXTENSIONS
Name clarified by Peter Munn, Nov 11 2023
STATUS
approved