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%I #10 Oct 26 2021 04:27:30
%S 21735,76544,170624,301664,345344,348704,382304,739935,862784,1218944,
%T 1262624,1272704,1314495,1370655,1376864,1539615,1558304,1707615,
%U 1718144,1761375,1845375,1890944,1926015,2100735,2132864,2223584,2415104,2463615,2581215,2675295,2747744
%N Numbers k such that k and k+1 are both nonexponential abundant numbers.
%H Amiram Eldar, <a href="/A348606/b348606.txt">Table of n, a(n) for n = 1..10000</a>
%e 21735 is a term since A160135(21735) = 21930 > 21735 and A160135(21736) = 23230 > 21736.
%t esigma[n_] := Times @@ (Sum[First[#]^d, {d, Divisors[Last[#]]}] &) /@ FactorInteger[n]; q[n_] := DivisorSigma[1, n] - esigma[n] > n; Select[Range[1, 3*10^6], q[#] && q[#+1] &]
%Y Cf. A160135.
%Y Subsequence of A096399 and A348604.
%Y Similar sequences: A318167, A327635, A327942, A331412, A348276.
%K nonn
%O 1,1
%A _Amiram Eldar_, Oct 25 2021