cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A367455 Numbers not divisible by 6 that are neither squarefree nor prime powers.

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%I A367455 #28 Jan 20 2024 03:15:34
%S A367455 20,28,40,44,45,50,52,56,63,68,75,76,80,88,92,98,99,100,104,112,116,
%T A367455 117,124,135,136,140,147,148,152,153,160,164,171,172,175,176,184,188,
%U A367455 189,196,200,207,208,212,220,224,225,232,236,242,244,245,248,250,260,261
%N A367455 Numbers not divisible by 6 that are neither squarefree nor prime powers.
%C A367455 A364997 is a proper subset.
%C A367455 The asymptotic density of this sequence is 1/6 - 1/(2*Pi^2). - _Amiram Eldar_, Jan 20 2024
%H A367455 Michael De Vlieger, <a href="/A367455/b367455.txt">Table of n, a(n) for n = 1..10000</a>
%F A367455 Intersection of A047253 and A126706.
%F A367455 Let p = A119288(k) and q = A053669(k) for k in A126706. Various definitions of this sequence:
%F A367455 {a(n)} = { k : Omega(k) > omega(k) > 1, p > q }.
%F A367455 {a(n)} = { k : Omega(k) > omega(k) > 1, k mod 6 != 0 }.
%F A367455 {a(n)} = { k = mx : x in A367018, rad(m) | x, m > 1. }.
%t A367455 Select[Range[261], And[Nor[SquareFreeQ[#], PrimePowerQ[#]], Mod[#, 6] != 0] &]
%Y A367455 Cf. A001221, A001222, A047253, A053669, A119288, A126706, A364997, A365710, A367018.
%K A367455 nonn,easy
%O A367455 1,1
%A A367455 _Michael De Vlieger_, Jan 15 2024