

A335121


Admirable totient numbers: numbers that are equal to the sum of their iterated phi, with one of them taken with a minus sign.


0



5, 7, 33, 35, 55, 87, 95, 175, 201, 215, 219, 245, 531, 747, 927, 939, 1047, 1295, 1463, 1473, 1551, 1855, 2015, 2103, 2421, 2431, 2547, 2619, 2631, 2765, 3535, 4833, 5067, 5215, 7655, 7743, 7851, 10503, 11127, 11307, 13055, 13707, 16247, 16593, 17805, 18471
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OFFSET

1,1


COMMENTS

Analogous to A111592 (admirable numbers) as A082897 (perfect totient numbers) is analogous to A000396 (perfect numbers).


LINKS

Table of n, a(n) for n=1..46.


EXAMPLE

5 is a term since the values of the iterated phi of 5 are 4, 2 and 1 and 5 = 4 + 2  1.


MATHEMATICA

admTotQ[n_] := Module[{s = Most @ Rest @ FixedPointList[EulerPhi, n]}, (ab = Plus @@ s  n) > 0 && EvenQ[ab] && ab/2 < n && MemberQ[s, ab/2]]; Select[Range[8000], admTotQ]


CROSSREFS

Subsequence of A286265.
Cf. A000010, A053478, A082897, A111592, A288452.
Sequence in context: A284405 A232237 A104815 * A230997 A243019 A007911
Adjacent sequences: A335118 A335119 A335120 * A335122 A335123 A335124


KEYWORD

nonn


AUTHOR

Amiram Eldar, May 24 2020


STATUS

approved



