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a(n) = 2^phi(n)+1 = A066781(n)+1.
3

%I #7 Sep 08 2022 08:46:08

%S 3,3,5,5,17,5,65,17,65,17,1025,17,4097,65,257,257,65537,65,262145,257,

%T 4097,1025,4194305,257,1048577,4097,262145,4097,268435457,257,

%U 1073741825,65537,1048577,65537,16777217,4097,68719476737,262145,16777217,65537,1099511627777

%N a(n) = 2^phi(n)+1 = A066781(n)+1.

%H Vincenzo Librandi, <a href="/A243305/b243305.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = 2^A000010(n) + 1. - _Wesley Ivan Hurt_, Jun 04 2014

%p with(numtheory); A243305:=n->2^phi(n)+1; seq(A243305(n), n=1..50); # _Wesley Ivan Hurt_, Jun 04 2014

%t Table[2^EulerPhi[n] + 1, {n, 1, 50}]

%o (Magma) [2^EulerPhi(n)+1: n in [1..41]];

%Y Cf. A066781, A100371.

%K nonn

%O 1,1

%A _Vincenzo Librandi_, Jun 04 2014