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 A282619 #23 Jul 15 2025 08:23:01
%S A282619 0,0,2,10,40,212,1086,6550,43978,326462,2704096,24307174,240782702,
%T A282619 2546166908,29250772016,355838290758,4658858733922,64127558524832,
%U A282619 940320570514884
%N A282619 Number of non-self-conjugate solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}).
%C A282619 A self-conjugate solution is one in which for every triple (a, b, c) in the partition there exists a "conjugate" triple (m-a, m-b, m-c) or (m-b, m-a, m-c) where m = 3n+1.
%C A282619 | separable | inseparable | either |
%C A282619 -------------------+-----------+-------------+---------+
%C A282619 self-conjugate | A282615 | A279197 | A282616 |
%C A282619 non-self-conjugate | A282618 | A282617 | A282619 |
%C A282619 either | A279199 | A202705 | A104429 |
%F A282619 a(n) = A282617(n) + A282618(n).
%F A282619 a(n) = A104429(n) - A282616(n).
%e A282619 For n = 3 the a(3) = 3 solutions are
%e A282619 (5,9,7),(4,8,6),(1,3,2),
%e A282619 (7,9,8),(2,6,4),(1,5,3).
%Y A282619 Cf. A104429, A202705, A279197, A279199, A282615, A282616, A282617, A282618.
%K A282619 nonn,more
%O A282619 1,3
%A A282619 _Peter Kagey_, Feb 19 2017
%E A282619 a(11)-a(16) from _Fausto A. C. Cariboni_, Feb 27 2017
%E A282619 a(17) from _Fausto A. C. Cariboni_, Mar 22 2017
%E A282619 a(18)-a(19) from _Martin Fuller_, Jul 15 2025