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 A339983 #5 Dec 25 2020 19:32:56
%S A339983 108,216,432,540,756,864,972,1000,1080,1188,1404,1512,1728,1836,1944,
%T A339983 2000,2052,2160,2376,2484,2744,2808,3000,3024,3132,3348,3456,3672,
%U A339983 3780,3888,3996,4000,4104,4320,4428,4644,4752,4860,4968,5076,5488,5616,5724,5940,6000
%N A339983 Coreful abundant numbers (A308053) with an even sum of coreful divisors (A057723) that are not coreful Zumkeller numbers (A339979).
%e A339983 108 is a term since its set of coreful divisors, {6, 12, 18, 36, 54, 108}, has an even sum, 234 > 2*108, and it cannot be partitioned into two disjoint sets of equal sum.
%t A339983 q[n_] := Module[{r = Times @@ FactorInteger[n][[;; , 1]], d, sum, x}, d = r*Divisors[n/r]; (sum = Plus @@ d) >= 2*n && EvenQ[sum] && CoefficientList[Product[1 + x^i, {i, d}], x][[1 + sum/2]] == 0]; Select[Range[10^4], q]
%Y A339983 Subsequence of A308053.
%Y A339983 Cf. A057723, A339979, A339982.
%Y A339983 Similar sequences: A171641, A323341, A323342, A323343, A323344.
%K A339983 nonn
%O A339983 1,1
%A A339983 _Amiram Eldar_, Dec 25 2020