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%I #7 Dec 18 2018 09:09:38
%S 2,18,17816,116624
%N The floor(n^(.9999))-perfect numbers, where f-perfect numbers for an arithmetical function f is defined in A066218.
%C 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.
%H J. Pe, <a href="http://www.numeratus.net/fperfect/fperfect.html">On a Generalization of Perfect Numbers</a>, J. Rec. Math., 31(3) (2002-2003), 168-172.
%t f[x_] := Floor[x^(.9999)]; Select[ Range[2, 10^6], 2 * f[ # ] == Apply[ Plus, Map[ f, Divisors[ # ] ] ] & ]
%Y Cf. A066218.
%K nonn
%O 1,1
%A _Joseph L. Pe_, Dec 20 2001
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