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 A282616 #30 Jul 15 2025 08:48:18
%S A282616 1,2,3,5,15,20,75,93,588,602,4954,4854,51068,48779,597554,567644,
%T A282616 8039742,7634924,120721322,114398957,2017517155,1889828995,
%U A282616 36749338386,34451341024,726198499999,679116640274,15459385244039,14509756794668,356501015466981,332645434167718,8701627694048482
%N A282616 Number of self-conjugate solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}).
%C A282616 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 A282616 | separable | inseparable | either |
%C A282616 -------------------+-----------+-------------+---------+
%C A282616 self-conjugate | A282615 | A279197 | A282616 |
%C A282616 non-self-conjugate | A282618 | A282617 | A282619 |
%C A282616 either | A279199 | A202705 | A104429 |
%F A282616 a(n) = A282615(n) + A279197(n).
%F A282616 a(n) = A104429(n) - A282619(n).
%e A282616 For n = 3 the a(3) = 3 solutions are:
%e A282616 (7,9,8),(4,6,5),(1,3,2),
%e A282616 (3,9,6),(2,8,5),(1,7,4), and
%e A282616 (6,8,7),(2,4,3),(1,9,5).
%Y A282616 Cf. A104429, A202705, A279197, A279199, A282615, A282617, A282618, A282619.
%K A282616 nonn
%O A282616 1,2
%A A282616 _Peter Kagey_, Feb 19 2017
%E A282616 a(11)-a(16) from _Fausto A. C. Cariboni_, Feb 27 2017
%E A282616 a(17) from _Fausto A. C. Cariboni_, Mar 22 2017
%E A282616 a(18)-a(24) from _Bert Dobbelaere_, May 29 2025
%E A282616 a(25)-a(31) from _Martin Fuller_, Jul 15 2025