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A279405 Peaceable coexisting armies of queens on torus: the maximum number m such that m white queens and m black queens can coexist on an n X n toroidal chessboard without attacking each other. 4

%I #16 Mar 13 2024 02:58:24

%S 0,0,0,2,2,4,4,8,7,12,10,18

%N Peaceable coexisting armies of queens on torus: the maximum number m such that m white queens and m black queens can coexist on an n X n toroidal chessboard without attacking each other.

%C a(n) <= A250000(n).

%C a(n) is maximal m such that A279406(n,m) >= m.

%H Andy Huchala, <a href="/A279405/a279405_4.py.txt">Python program</a>.

%e A solution for n=6:

%e ......

%e .W...W

%e ...B..

%e ..B.B.

%e ...B..

%e .W...W

%Y Cf. A250000, A279406.

%K nonn,hard,more

%O 1,4

%A _Andrey Zabolotskiy_, Dec 11 2016

%E a(10)-a(12) from _Andy Huchala_, Mar 10 2024

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Last modified April 23 07:42 EDT 2024. Contains 371905 sequences. (Running on oeis4.)