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A367455
Numbers not divisible by 6 that are neither squarefree nor prime powers.
4
20, 28, 40, 44, 45, 50, 52, 56, 63, 68, 75, 76, 80, 88, 92, 98, 99, 100, 104, 112, 116, 117, 124, 135, 136, 140, 147, 148, 152, 153, 160, 164, 171, 172, 175, 176, 184, 188, 189, 196, 200, 207, 208, 212, 220, 224, 225, 232, 236, 242, 244, 245, 248, 250, 260, 261
OFFSET
1,1
COMMENTS
A364997 is a proper subset.
The asymptotic density of this sequence is 1/6 - 1/(2*Pi^2). - Amiram Eldar, Jan 20 2024
LINKS
FORMULA
Intersection of A047253 and A126706.
Let p = A119288(k) and q = A053669(k) for k in A126706. Various definitions of this sequence:
{a(n)} = { k : Omega(k) > omega(k) > 1, p > q }.
{a(n)} = { k : Omega(k) > omega(k) > 1, k mod 6 != 0 }.
{a(n)} = { k = mx : x in A367018, rad(m) | x, m > 1. }.
MATHEMATICA
Select[Range[261], And[Nor[SquareFreeQ[#], PrimePowerQ[#]], Mod[#, 6] != 0] &]
KEYWORD
nonn,easy
AUTHOR
Michael De Vlieger, Jan 15 2024
STATUS
approved