%I #15 Aug 01 2019 11:33:30
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,
%T 28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,
%U 74,76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106
%N Numbers n such that sigma_3(n) > sigma_3(k) for all k < n.
%C Where record values of sigma_3(n) occur. RECORDS transform of A001158.
%C Number of terms up to 10^n for n = 1, 2, ... are 10, 63, 264, 945, 2499, 6365, 12074, 27930, 51660, .... - _Charles R Greathouse IV_, Sep 02 2015
%H Amiram Eldar, <a href="/A193989/b193989.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from T. D. Noe)
%t mx = 0; t = {}; Do[u = DivisorSigma[3, n]; If[u > mx, mx = u; AppendTo[t, n]], {n, 1000}]; t
%o (PARI) list(lim)=my(v=List(),r,t); for(n=1,lim, t=sigma(n,3); if(t>r, listput(v,n);r=t)); Vec(v) \\ _Charles R Greathouse IV_, Sep 02 2015
%Y Cf. A001158, A002093 (highly abundant numbers), A193988.
%K nonn
%O 1,2
%A _T. D. Noe_, Aug 17 2011