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%I #21 Jan 12 2024 01:27:54
%S 1,2,3,4,6,8,12,16,18,20,24,30,32,36,48,60,72,84,90,96,108,120,144,
%T 168,180,210,216,240,288,300,324,336,360,420,480,504,540,576,600,660,
%U 672,720,840,900,960,1008,1080,1200,1260,1440,1560,1620,1680,1800,1920,1980,2016
%N Numbers with a record sum of divisors, weighted by divisor multiplicity (A168512).
%C The corresponding record values are 1, 3, 4, 9, 12, 19, 30, 41, 42, 44, 64, 72, 75, 102, 134, 170, 208, 226, 237, 264, 294, ...
%H Amiram Eldar, <a href="/A326712/b326712.txt">Table of n, a(n) for n = 1..600</a>
%e The first values of A168512(n) for n=1..8 are {1, 3, 4, 9, 6, 12, 8, 19}. The record values are 1, 3, 4, 9, 12, 19 for 1, 2, 3, 4, 6, 8. Therefore this sequence begins with 1, 2, 3, 4, 6, 8.
%t s[n_] := 1 + DivisorSum[n, #*IntegerExponent[n, #] &, # > 1 &]; seq = {}; sm = 0; Do[s1 = s[n]; If[s1 > sm, sm = s1; AppendTo[seq, n]], {n, 1, 100000}]; seq (* after _Michael De Vlieger_ at A168512 *)
%Y Cf. A002093, A168512.
%K nonn
%O 1,2
%A _Amiram Eldar_, Oct 18 2019
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