login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = 1 if (2*phi(n)) < n, 0 otherwise, where phi is Euler totient function (A000010).
4

%I #12 Jul 08 2024 08:50:17

%S 0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,

%T 0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,

%U 0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1

%N a(n) = 1 if (2*phi(n)) < n, 0 otherwise, where phi is Euler totient function (A000010).

%C Characteristic function of A054741.

%H Antti Karttunen, <a href="/A323170/b323170.txt">Table of n, a(n) for n = 1..65537</a>

%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>

%t Array[Boole[2*EulerPhi[#] < #] &, 100] (* _Paolo Xausa_, Jul 08 2024 *)

%o (PARI) A323170(n) = ((2*eulerphi(n))<n);

%Y Cf. A000010, A054741, A083254, A318875 (Inverse Möbius transform), A374134.

%K nonn

%O 1

%A _Antti Karttunen_, Jan 05 2019