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A081699 k-tuple abundance record-holders. 3
12, 24, 30, 120, 138, 858, 966, 1134, 1218, 1476, 2514, 4494 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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 * A120570 A164014 A098113

Adjacent sequences:  A081696 A081697 A081698 * 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 February 14 22:15 EST 2012. Contains 205670 sequences.