%I #16 Jan 18 2024 03:08:08
%S 2,6,10,12,14,18,22,24,26,30,34,38,42,46,50,54,58,60,62,66,70,74,78,
%T 82,84,86,90,94,96,98,102,106,110,114,118,120,122,126,130,132,134,138,
%U 142,146,150,154,156,158,162,166,168,170,174,178,182,186,190,194,198,202
%N Numbers n such that A094758(n) < n.
%C The numbers of terms not exceeding 10^k, for k = 1, 2, ..., are 3, 30, 298, 2990, 29881, 298792, 2987904, 29879025, ... . Apparently, the asymptotic density of this sequence exists and equals 0.29879... . - _Amiram Eldar_, Jan 18 2024
%H Amiram Eldar, <a href="/A095300/b095300.txt">Table of n, a(n) for n = 1..10000</a>
%e A094758(2) = 1 < 2, hence 2 is in the sequence.
%t aQ[n_] := Module[{k = 1, r = DivisorSigma[0, n]/n}, While[DivisorSigma[0, k]/k != r, k++]; k < n]; Select[Range[200], aQ] (* _Amiram Eldar_, Aug 19 2019 *)
%o (PARI) for(n=1,205,s=numdiv(n);k=1;while(n*numdiv(k)!=k*s,k++);if(k<n,print1(n,",")));
%Y Cf. A000005, A094758.
%K nonn
%O 1,1
%A _Klaus Brockhaus_, Jun 01 2004