%I A065218
%S A065218 1,6,12,24,36,48,60,120,180,240,360,720,840,1260,1680,2520,5040,7560,
%T A065218 10080,15120,20160,25200,27720,45360,50400,55440,83160,110880,166320,
%U A065218 221760,277200,332640,498960,554400,665280,720720,831600,1081080,1441440
%N A065218 Consider the subsets of proper divisors of a number that sum to the number. 
               These are numbers that set a record number of such subsets.
%C A065218 Indices of records in A065205 and A033630. The corresponding records 
               (number of subsets) are in A065219.
%C A065218 This sequence is not a subset of A002182: 831600 belongs to this sequence 
               but not A002182.
%e A065218 Proper divisors of 12 are {1,2,3,4,6}. Two subsets of this sum to 12: 
               {2,4,6} and {1,2,3,6} - more than any smaller number, so 12 is in 
               the sequence.
%Y A065218 Cf. A065219, A064771, A063205, A005835, A002182, A004394.
%Y A065218 Sequence in context: A000082 A106697 A140522 this_sequence A124509 A063104 
               A090765
%Y A065218 Adjacent sequences: A065215 A065216 A065217 this_sequence A065219 A065220 
               A065221
%K A065218 nonn
%O A065218 0,2
%A A065218 Jud McCranie (j.mccranie(AT)comcast.net), Oct 21 2001
%E A065218 More terms from Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), 
               Nov 27 2006
%E A065218 Edited and extended by Max Alekseyev (maxale(AT)gmail.com), May 29 2009