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A282616
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Number of self-conjugate solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}).
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5
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1, 2, 3, 5, 15, 20, 75, 93, 588, 602, 4954, 4854, 51068, 48779, 597554, 567644, 8039742
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OFFSET
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1,2
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COMMENTS
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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 |
-------------------+-----------+-------------+---------+
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LINKS
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FORMULA
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EXAMPLE
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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).
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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