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Search: id:A065218
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| A065218 |
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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. |
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3
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| 1, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 7560, 10080, 15120, 20160, 25200, 27720, 45360, 50400, 55440, 83160, 110880, 166320, 221760, 277200, 332640, 498960, 554400, 665280, 720720, 831600, 1081080, 1441440
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Indices of records in A065205 and A033630. The corresponding records (number of subsets) are in A065219.
This sequence is not a subset of A002182: 831600 belongs to this sequence but not A002182.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A065219, A064771, A063205, A005835, A002182, A004394.
Sequence in context: A000082 A106697 A140522 this_sequence A124509 A063104 A090765
Adjacent sequences: A065215 A065216 A065217 this_sequence A065219 A065220 A065221
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net), Oct 21 2001
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EXTENSIONS
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More terms from Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 27 2006
Edited and extended by Max Alekseyev (maxale(AT)gmail.com), May 29 2009
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