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.

A333873 Numbers that equal to the sum of their iterated absolute Möbius divisor function (A173557).

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%I A333873 #11 Apr 09 2020 05:24:03
%S A333873 3,5,17,257,413,611,1391,1589,1903,2327,5599,27959,29623,36647,36983,
%T A333873 38863,42851,43919,46463,49513,65537,76759,82969,86567,88759,96839,
%U A333873 111179,116479,129307,171191,184979,213041,277619,301157,310519,346151,362263,372227,375167
%N A333873 Numbers that equal to the sum of their iterated absolute Möbius divisor function (A173557).
%C A333873 A variant of A082897 (perfect totient numbers) in which the absolute Möbius divisor function (A173557) replaces the Euler totient function (A000010).
%H A333873 Amiram Eldar, <a href="/A333873/b333873.txt">Table of n, a(n) for n = 1..350</a> (terms below 4*10^9)
%H A333873 Daeyeoul Kim, Umit Sarp, and Sebahattin Ikikardes, <a href="https://doi.org/10.3390/math7111083">Iterating the Sum of Möbius Divisor Function and Euler Totient Function</a>, Mathematics, Vol. 7, No. 11 (2019), pp. 1083-1094.
%e A333873 5 is a term since A173557(5) = 4, A173557(4) = 1, and 4 + 1 = 5.
%t A333873 f[p_, e_] := p - 1; u[1] = 1; u[n_] := Times @@ (f @@@ FactorInteger[n]); Select[Range[10^4], Plus @@ FixedPointList[u, #] == 2*# + 1 &]
%Y A333873 A019434 is a subsequence.
%Y A333873 Cf. A082897, A173557, A286067, A330273, A333871.
%K A333873 nonn
%O A333873 1,1
%A A333873 _Amiram Eldar_, Apr 08 2020