This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A239887 #18 Jul 01 2022 05:25:55 %S A239887 2,4,6,8,3,8,16,7,10,24,14,9,12,32,17,21,6,14,40,39,31,9,20,28,16,48, %T A239887 45,34,35,18,18,33,41,56,74,59,53,19,26,42,74,50,20,9,64,73,49,46,39, %U A239887 32,5,40,49,32,22,72,25,109,87,130,68,21,97,66,56,137,8,67 %N A239887 Integer values of the proper divisor balance of composite numbers. %C A239887 1 and all primes have proper divisor balance 0. These values are not included in this list. %H A239887 Amiram Eldar, <a href="/A239887/b239887.txt">Table of n, a(n) for n = 1..1000</a> (terms 1..267 from Vincenzo Librandi) %F A239887 Proper divisor balance of n = Sum_{1 < d < n and divides n} {d / phi(d)} where phi is Euler's phi function. %t A239887 Select[Array[Function[n, Plus @@ Map[#/EulerPhi[#] &, DeleteCases[Divisors[n], 1 | n]]], 3000], Positive[#] && IntegerQ[#] &] %t A239887 Select[Table[Total[#/EulerPhi[#]&/@Most[Rest[Divisors[n]]]],{n,2,3000}],Positive[ #]&&IntegerQ[#]&] (* _Harvey P. Dale_, Oct 31 2020 *) %t A239887 s[n_] := DivisorSum[n, #/EulerPhi[#] &, 1 < # < n &]; Select[s /@ Select[Range[10^4], CompositeQ], IntegerQ] (* _Amiram Eldar_, Jul 01 2022 *) %Y A239887 Cf. A000010, A239886. %Y A239887 Cf. A023898, A023899 for the versions with all divisors included. %K A239887 nonn %O A239887 1,1 %A A239887 _Olivier Gérard_, Mar 29 2014