%I
%S 1,5,18,58,99,153,176,228,238,240,282,341,345,421,475,585,629,712,739,
%T 779,802,815,974,995,1078,1088,1237,1257,1262,1290,1346,1398,1424,
%U 1459,1673,1694,1724,1731,1802,1811,1916,1928,1988,2170,2222,2260,2272,2275,2317,2365,2397,2410
%N Numbers n such that A033493(n)/A008908(n) is an integer.
%C Equivalently, these are also numbers n such that the average of the numbers in the Collatz (3x+1) iteration of n is an integer.
%o (PARI)
%o Tavg(n)=c=0;s=n;while(n!=1,if(n==Mod(0,2),n=n/2;c++;s+=n);if(n==Mod(1,2)&&n!=1,n=3*n+1;s+=n;c++));s/(c+1)
%o n=1;while(n<10^4,if(floor(Tavg(n))==Tavg(n),print1(n,", "));n++)
%Y Cf. A008908, A033493.
%K nonn
%O 1,2
%A _Derek Orr_, Sep 22 2014
