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A071386 Numbers k such that the cardinality of the set of solutions to phi(x) = k is odd. 6

%I #24 Apr 04 2024 08:09:57

%S 2,8,20,32,40,44,48,56,60,72,92,96,104,108,116,120,128,132,140,144,

%T 156,164,192,204,212,216,220,240,252,260,272,276,296,300,332,344,356,

%U 360,368,380,384,392,396,400,416,420,440,444,452,456,476,480,500,504,512

%N Numbers k such that the cardinality of the set of solutions to phi(x) = k is odd.

%H Amiram Eldar, <a href="/A071386/b071386.txt">Table of n, a(n) for n = 1..10000</a>

%H Max Alekseyev, <a href="https://oeis.org/wiki/User:Max_Alekseyev/gpscripts">PARI/GP Scripts for Miscellaneous Math Problems</a> (invphi.gp).

%F { k : Card(InvPhi(k)) mod 2 = 1 }.

%e k = 40 is a term: InvPhi(40) = {41,55,75,82,88,100,110,132,150} has 9 entries.

%o (PARI) is(n) = invphiNum(n) % 2; \\ _Amiram Eldar_, Mar 28 2024, using _Max Alekseyev_'s invphi.gp (see links).

%Y Cf. A000010 (phi), A014197, A058277, A063512, A071387.

%K nonn

%O 1,1

%A _Labos Elemer_, May 23 2002

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Last modified July 23 03:10 EDT 2024. Contains 374544 sequences. (Running on oeis4.)