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 A378652 #16 Dec 04 2024 15:46:07
%S A378652 40,42,54,66,78,102,112,114,138,174,186,204,222,228,246,258,276,282,
%T A378652 318,348,354,366,372,402,414,416,426,438,444,460,474,490,492,498,500,
%U A378652 516,522,534,544,558,564,572,580,582,606,608,618,620,636,642,654,666,678,708,732,740,762,786,804,812,820,822,834,852
%N A378652 Numbers whose divisors can be partitioned in exactly two ways into two disjoint sets with the same sum.
%H A378652 Antti Karttunen, <a href="/A378652/b378652.txt">Table of n, a(n) for n = 1..15509</a>
%F A378652 {k such that A083206(k) = 2}.
%e A378652 Divisors of 40 are [1, 2, 4, 5, 8, 10, 20, 40], whose sum is 90. These can be partitioned in two ways so that both the set and its complement has sum 45, either as 40+5 = 1+2+4+8+10+20 or as 40+4+1 = 2+5+8+10+20, therefore 40 is included in this sequence.
%o A378652 (PARI) is_A378652 = A378651;
%Y A378652 Cf. A083206, A083209, A378651 (characteristic function).
%Y A378652 Subsequence of Zumkeller numbers, A083207.
%K A378652 nonn
%O A378652 1,1
%A A378652 _Antti Karttunen_, Dec 02 2024