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Search: id:A081699
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| A081699 |
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k-tuple abundance record-holders. |
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+0 4
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| 12, 24, 30, 120, 138, 858, 966, 1134, 1218, 1476, 2514, 4494
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OFFSET
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1,1
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COMMENT
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A number n is k-tuply abundant if it is abundant and either k = 1 or s(n) is (k-1)-tuply abundant. Thus 24 is doubly abundant: its aliquot chain is 24->36->55->17->1. a(n+1) is defined as the smallest number that is more k-tuply abundant than a(n). 966 is the last calculated term: it is 179-tuply abundant.
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EXAMPLE
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a(1) = 12 because 12 is the first abundant number.
a(3) = 30 because 30 is the first number more k-tuply abundant than a(2).
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CROSSREFS
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Cf. A081700, A081705.
Sequence in context: A082801 A103532 A103590 this_sequence A120570 A098113 A083547
Adjacent sequences: A081696 A081697 A081698 this_sequence A081700 A081701 A081702
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KEYWORD
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hard,nonn
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AUTHOR
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Gabriel Cunningham (gcasey(AT)mit.edu), Apr 02 2003
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EXTENSIONS
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5 more terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 16 2004
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