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A196200 Numbers k such that Euler phi(Dedekind psi(k)) > k. 1

%I #31 Jan 30 2020 06:39:51

%S 39270,53130,71610,78540,82110,106260,108570,117810,122430,143220,

%T 157080,159390,164010,164220,212520,214830,217140,235620,244860,

%U 246330,247170,286440,293370,314160,318780,325710,328020,328440,353430,367290,425040,429660,434280

%N Numbers k such that Euler phi(Dedekind psi(k)) > k.

%C Counterexamples to a conjecture by Sandor.

%H Amiram Eldar, <a href="/A196200/b196200.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..66 from Indranil Ghosh)

%H Jozsef Sandor, <a href="http://www.emis.de/journals/JIPAM/article546.html?sid=546">On the Composition of Some Arithmetic Functions, II</a>, Journal of Inequalities in Pure and Applied Mathematics (JIPAM), Volume 6, Issue 3, Article 73, 2005.

%t Select[Range[39270, 434280], EulerPhi[# * Sum[MoebiusMu[d]^2 / d, {d, Divisors[#]}]] > # &] (* _Indranil Ghosh_, Mar 11 2017 *)

%o (PARI) a(m) = {for (n=1, m, if (eulerphi(n * sumdiv( n, d, moebius(d)^2 / d)) > n, print1(n, ", ")););}

%Y Cf. A000010, A001615.

%K nonn

%O 1,1

%A _Michel Marcus_, Dec 21 2012

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Last modified April 16 04:17 EDT 2024. Contains 371696 sequences. (Running on oeis4.)