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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

Table of n, a(n) for n=1..17.

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.)