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%I #8 Oct 26 2021 16:52:44
%S 3600,4500,6300,7056,8100,8820,9900,14700,21780,22500,25200,30420,
%T 31500,35280,39600,46800,49500,52020,56700,58500,61200,61740,64980,
%U 68400,69300,76500,77616,81900,82800,85500,88200,89100,91728,95220,97020,103500,104400,105300
%N Numbers that are both exponential and nonexponential abundant numbers.
%H Amiram Eldar, <a href="/A348627/b348627.txt">Table of n, a(n) for n = 1..10000</a>
%e 3600 is a term since A051377(3600) = 7920 > 2*3600 and A160135(3600) = 4573 > 3600.
%t esigma[n_] := Times @@ (Sum[First[#]^d, {d, Divisors[Last[#]]}] &) /@ FactorInteger[n]; Select[Range[10^5], (e = esigma[#]) > 2*# && DivisorSigma[1, #] - e > # &]
%Y Cf. A051377, A160135.
%Y Intersection of A129575 and A348604.
%Y Subsequence of A068403.
%Y Similar sequence: A348523.
%K nonn
%O 1,1
%A _Amiram Eldar_, Oct 26 2021
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