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%I #11 Apr 23 2013 11:14:29
%S 2,4,12,16,18,24,30,40,42,56,66,78,80,88,96,102,104,114,120,136,138,
%T 144,152,174,180,184,186,200,216,222,232,240,246,248,256,258,270,280,
%U 282,296,300,318,324,328,336,344,354,360,366,376,384,402,420,424,426
%N Numbers divisible by the twice the number of their prime factors (counted with multiplicity), or numbers n divisible by 2*Omega(n).
%C A number is in the list if mod(n,2*A001222(n)) == 0.
%H Christian N. K. Anderson, <a href="/A224703/b224703.txt">Table of n, a(n) for n = 1..10000</a>
%e 18 has 3 prime factors {2,3,3} and is divisible by 6=2*3; 184 has 4 prime factors {2,2,2,23} and is divisible by 8=2*4.
%t Select[Range[2, 426], Mod[#, 2*PrimeOmega[#]] == 0 &] (* _T. D. Noe_, Apr 17 2013 *)
%o (R) y=c(); i=2; isint<-function(x) x==as.integer(x)
%o while(length(y)<10000) {if(isint(i/(2*length(factorize(i))))) y=c(y,i); i=i+1 }
%Y Cf. A001222, A074946, A137230.
%K nonn
%O 1,1
%A _Kevin L. Schwartz_ and _Christian N. K. Anderson_, Apr 16 2013