%I #19 Mar 23 2017 11:57:25

%S 0,0,2,10,40,212,1086,6550,43978,326462,2704096,24307174,240782702,

%T 2546166908,29250772016,355838290758,4658858733922

%N Number of non-self-conjugate solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}).

%C 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 | separable | inseparable | either |

%C -------------------+-----------+-------------+---------+

%C self-conjugate | A282615 | A279197 | A282616 |

%C non-self-conjugate | A282618 | A282617 | A282619 |

%C either | A279199 | A202705 | A104429 |

%F a(n) = A282617(n) + A282618(n).

%F a(n) = A104429(n) - A282616(n).

%e For n = 3 the a(3) = 3 solutions are

%e (5,9,7),(4,8,6),(1,3,2),

%e (7,9,8),(2,6,4),(1,5,3).

%Y Cf. A104429, A202705, A279197, A279199, A282615, A282616, A282617, A282618.

%K nonn,more

%O 1,3

%A _Peter Kagey_, Feb 19 2017

%E a(11)-a(16) from _Fausto A. C. Cariboni_, Feb 27 2017

%E a(17) from _Fausto A. C. Cariboni_, Mar 22 2017