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 A282616 Number of self-conjugate solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}). 5
 1, 2, 3, 5, 15, 20, 75, 93, 588, 602, 4954, 4854, 51068, 48779, 597554, 567644, 8039742 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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.                    | separable | inseparable | either  | -------------------+-----------+-------------+---------+ self-conjugate     | A282615   | A279197     | A282616 | non-self-conjugate | A282618   | A282617     | A282619 | either             | A279199   | A202705     | A104429 | LINKS FORMULA a(n) = A282615(n) + A279197(n). a(n) = A104429(n) - A282619(n). EXAMPLE For n = 3 the a(3) = 3 solutions are: (7,9,8),(4,6,5),(1,3,2), (3,9,6),(2,8,5),(1,7,4), and (6,8,7),(2,4,3),(1,9,5). CROSSREFS Cf. A104429, A202705, A279197, A279199, A282615, A282617, A282618, A282619. Sequence in context: A099410 A330988 A102033 * A174418 A072246 A292903 Adjacent sequences:  A282613 A282614 A282615 * A282617 A282618 A282619 KEYWORD nonn,more AUTHOR Peter Kagey, Feb 19 2017 EXTENSIONS a(11)-a(16) from Fausto A. C. Cariboni, Feb 27 2017 a(17) from Fausto A. C. Cariboni, Mar 22 2017 STATUS approved

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Last modified May 20 11:16 EDT 2022. Contains 353871 sequences. (Running on oeis4.)