

A261034


Numbers n such that 3n is squarefree.


4



1, 2, 5, 7, 10, 11, 13, 14, 17, 19, 22, 23, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 47, 53, 55, 58, 59, 61, 62, 65, 67, 70, 71, 73, 74, 77, 79, 82, 83, 85, 86, 89, 91, 94, 95, 97, 101, 103, 106, 107, 109, 110, 113, 115, 118, 119, 122, 127, 130, 131
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OFFSET

1,2


COMMENTS

These are the numbers from A005117 that are not divisible by 3. See the Maple program by Robert Israel .  Wolfdieter Lang, Aug 21 2015
Squarefree numbers divisible by 3: 3, 6, 15, 21, 30, 33, 39, 42, 51, 57, 66, 69, 78, 87, 93, 102, ...


LINKS

Table of n, a(n) for n=1..60.


FORMULA

a(n) ~ 2*Pi^2*n/9.  Charles R Greathouse IV, Aug 07 2015


EXAMPLE

10 is in this sequence because 3*10 = 30 is squarefree.


MAPLE

select(numtheory:issqrfree, [seq(seq(3*i+j, j=1..2), i=0..1000)]); # Robert Israel, Aug 07 2015


MATHEMATICA

Select[Range[0, 200], SquareFreeQ[3 #] &] (* Vincenzo Librandi, Aug 08 2015 *)


PROG

(MAGMA) [n: n in [1..200]  IsSquarefree(3*n)];
(PARI) is(n)=n%3 && issquarefree(n) \\ Charles R Greathouse IV, Aug 07 2015


CROSSREFS

Cf. A005117, A045344.
Sequence in context: A284167 A108118 A099477 * A330777 A259749 A067934
Adjacent sequences: A261031 A261032 A261033 * A261035 A261036 A261037


KEYWORD

nonn,easy


AUTHOR

JuriStepan Gerasimov, Aug 07 2015


EXTENSIONS

Corrected and extended by Vincenzo Librandi, Aug 08 2015


STATUS

approved



