OFFSET
1,1
COMMENTS
The smallest odd term is a(1357) = 8505.
The numbers of terms not exceeding 10^k, for k = 1, 2, ..., are 0, 13, 148, 1595, 15688, 158068, 1578957, 15762209, 157745113, 1577808429, ... Apparently this sequence has an asymptotic density 0.157...
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
EXAMPLE
24 is a term since A160135(24) = 30 > 24.
MATHEMATICA
esigma[n_] := Times @@ (Sum[First[#]^d, {d, Divisors[Last[#]]}] &) /@ FactorInteger[n]; q[n_] := DivisorSigma[1, n] - esigma[n] > n; Select[Range[400], q]
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Oct 25 2021
STATUS
approved