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Search: id:A066361
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| A066361 |
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The floor(n^(.9999))-perfect numbers, where f-perfect numbers for an arithmetical function f is defined in A066218. |
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+0
1
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OFFSET
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1,1
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COMMENT
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Despite the closeness of f(n) = floor(n^(.9999)) to floor(n) (which generates the usual perfect numbers), the perfect numbers generated by these functions are quite different.
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LINKS
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J. Pe, On a Generalization of Perfect Numbers, J. Rec. Math., 31(3) (2002-2003), 168-172.
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MATHEMATICA
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f[x_] := Floor[x^(.9999)]; Select[ Range[2, 10^6], 2 * f[ # ] == Apply[ Plus, Map[ f, Divisors[ # ] ] ] & ]
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CROSSREFS
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Cf. A066218.
Sequence in context: A006262 A003043 A059783 this_sequence A120929 A007184 A067765
Adjacent sequences: A066358 A066359 A066360 this_sequence A066362 A066363 A066364
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KEYWORD
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nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Dec 20 2001
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