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Search: id:A081699
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A081699 k-tuple abundance record-holders. +0
4
12, 24, 30, 120, 138, 858, 966, 1134, 1218, 1476, 2514, 4494 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

EXAMPLE

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).

CROSSREFS

Cf. A081700, A081705.

Sequence in context: A068567 A082801 A103590 this_sequence A120570 A098113 A083547

Adjacent sequences: A081696 A081697 A081698 this_sequence A081700 A081701 A081702

KEYWORD

hard,nonn

AUTHOR

Gabriel Cunningham (gcasey(AT)mit.edu), Apr 02 2003

EXTENSIONS

5 more terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 16 2004

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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