OFFSET
1,1
COMMENTS
The larger counterparts are in A339679.
The corresponding sums of numbers of divisors are 18, 24, 28, 32, 48, 64, 72, ... (see the link for more values).
The terms were calculated using data from Chernykh's site.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..55
Sergei Chernykh, Amicable pairs list.
EXAMPLE
The least pair of amicable numbers, (220, 284), has a sum of numbers of divisors d(220) + d(284) = 12 + 6 = 18.
The second pair, (1184, 1210) has a larger sum: d(1184) + d(1210) = 12 + 12 = 24.
The next pair with a larger sum is (6232, 6368) whose sum is d(6232) + d(6368) = 16 + 12 = 28.
MATHEMATICA
s[n_] := DivisorSigma[1, n] - n; dm = 0; seq = {}; Do[m = s[n]; If[m > n && s[m] == n && (d = Plus @@ DivisorSigma[0, {n, m}]) > dm, dm = d; AppendTo[seq, n]], {n, 1 , 10^6}]; seq
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Dec 12 2020
STATUS
approved