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 A348718 #13 Nov 03 2021 12:20:02 %S A348718 6,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,35,36,38,39,40, %T A348718 42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72, %U A348718 74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96 %N A348718 Numbers whose divisors can be partitioned into two disjoint sets without singletons whose arithmetic means are both integers. %C A348718 First differs from A343311 at n = 29. %C A348718 Differs from A080257 which contains for example 8 and 128. - _R. J. Mathar_, Nov 03 2021 %H A348718 Amiram Eldar, <a href="/A348718/b348718.txt">Table of n, a(n) for n = 1..1000</a> %e A348718 6 is a term since its set of divisors, {1, 2, 3, 6}, can be partitioned into the two disjoint sets {1, 3} and {2, 6} whose arithmetic means, 2 and 4 respectively, are both integers. %t A348718 amQ[d_] := IntegerQ @ Mean[d]; q[n_] := Module[{d = Divisors[n], nd, s, subs, ans = False}, nd = Length[d]; subs = Subsets[d]; Do[s = subs[[k]]; If[Length[s] > 1 && Length[s] <= nd/2 && amQ[s] && amQ[Complement[d, s]], ans = True; Break[]], {k, 1, Length[subs]}]; ans]; Select[Range[100], q] %Y A348718 Cf. A003601, A027750, A057020, A057021, A083207, A343311, A348715. %K A348718 nonn %O A348718 1,1 %A A348718 _Amiram Eldar_, Oct 31 2021