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.

A362664 Numbers k with exactly two solutions x to the equation iphi(x) = k, where iphi is the infinitary totient function A091732.

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%I A362664 #8 Apr 29 2023 07:34:06
%S A362664 1,2,3,4,10,15,20,22,28,42,44,45,46,52,54,56,58,70,78,82,92,100,102,
%T A362664 104,106,116,130,136,140,148,162,164,166,172,174,178,184,190,196,200,
%U A362664 204,208,212,220,222,226,228,234,238,246,250,255,260,262,268,272,282,292,296
%N A362664 Numbers k with exactly two solutions x to the equation iphi(x) = k, where iphi is the infinitary totient function A091732.
%C A362664 Numbers k such that A362485(k) = 2.
%C A362664 There are no numbers k with a single solution to iphi(x) = k, because if iphi(x) = k, and A007814(x) is even, then 2*x is also a solution, i.e., iphi(2*x) = k.
%H A362664 Amiram Eldar, <a href="/A362664/b362664.txt">Table of n, a(n) for n = 1..10000</a>
%t A362664 Select[Range[300], Length[invIPhi[#]] == 2 &] (* using the function invIPhi from A362484 *)
%Y A362664 Cf. A007814, A091732, A362484, A362485.
%Y A362664 Similar sequences: A361969, A362185.
%K A362664 nonn
%O A362664 1,2
%A A362664 _Amiram Eldar_, Apr 29 2023