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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.

A335269 Numbers for which the harmonic mean of the nontrivial unitary divisors is an integer.

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%I A335269 #12 Jun 26 2020 09:14:12
%S A335269 228,345,1645,2120,4025,4386,4977,7725,8041,13026,23881,24157,24336,
%T A335269 51925,88473,115957,150161,169893,229177,255041,278721,322592,342637,
%U A335269 377201,490725,538625,656937,1497517,1566981,2132021,3256261,3847001,4646101,5054221,5524897
%N A335269 Numbers for which the harmonic mean of the nontrivial unitary divisors is an integer.
%C A335269 A number m is a term if the set {d|m ; d > 1, d < m, gcd(d, m/d) = 1} is nonempty and the harmonic mean its members is an integer.
%C A335269 The corresponding harmonic means are 8, 9, 15, 16, 25, 12, 21, 15, 33, 12, ...
%C A335269 Equivalently, numbers m such that omega(m) > 1 and (usigma(m)-m-1) | m*(2^omega(m)-2), where usigma is the sum of unitary divisors (A034448), and 2^omega(m)-2 = A034444(m)-2 = A087893 (m) is the number of the nontrivial unitary divisors of m.
%C A335269 The squarefree terms of A247078 are also terms of this sequence.
%H A335269 Amiram Eldar, <a href="/A335269/b335269.txt">Table of n, a(n) for n = 1..150</a>
%e A335269 228 is a term since the harmonic mean of its nontrivial unitary divisors, {3, 4, 12, 19, 57, 76} is 8 which is an integer.
%t A335269 usigma[1] = 1; usigma[n_] := Times @@ (1 + Power @@@ FactorInteger[n]); Select[Range[10^6], (omega = PrimeNu[#]) > 1 && Divisible[#*(2^omega - 2), usigma[#] - # - 1] &]
%Y A335269 The unitary version of A247078.
%Y A335269 Cf. A006086, A034444, A034448, A077610, A087893, A335268, A335270.
%K A335269 nonn
%O A335269 1,1
%A A335269 _Amiram Eldar_, May 29 2020