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A003416 Sociable numbers: smallest member of each cycle. +0
8
12496, 14316, 1264460, 2115324, 2784580, 4938136, 7169104, 18048976, 18656380, 28158165, 46722700, 81128632, 174277820, 209524210, 330003580, 498215416, 805984760, 1095447416, 1236402232, 1276254780, 1799281330 (list; graph; listen)
OFFSET

1,1

COMMENT

Numbers belonging to aliquot cycles of length greater than 2.

REFERENCES

R. K. Guy, Unsolved Problems Number Theory, B7.

P. Poulet, Parfaits, amiables et extensions, Editions Stevens, Bruxelles, 1918.

D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, pp. 174 Penguin Books 1987.

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 112

D. Moews, Perfect, amicable and sociable numbers

D. Moews, Sociable numbers

J. O. M. Pedersen, Tables of Aliquot Cycles

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A072890, A072891.

Sequence in context: A033669 A122726 A072891 this_sequence A045217 A078957 A119076

Adjacent sequences: A003413 A003414 A003415 this_sequence A003417 A003418 A003419

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Incorrect g.f. deleted by N. J. A. Sloane (njas(AT)research.att.com), Sep 20 2008

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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