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Search: id:A003416
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| A003416 |
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Sociable numbers: smallest member of each cycle. |
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+0
8
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| 12496, 14316, 1264460, 2115324, 2784580, 4938136, 7169104, 18048976, 18656380, 28158165, 46722700, 81128632, 174277820, 209524210, 330003580, 498215416, 805984760, 1095447416, 1236402232, 1276254780, 1799281330
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers belonging to aliquot cycles of length greater than 2.
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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.
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MAPLE
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A003416:=-(-2+3*z)/(2*z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Cf. A072890, A072891.
Sequence in context: A033669 A122726 A072891 this_sequence A045217 A078957 A119076
Adjacent sequences: A003413 A003414 A003415 this_sequence A003417 A003418 A003419
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KEYWORD
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nonn,nice
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AUTHOR
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njas
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