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A320575 a(n) gives the number of configurations of n non-attacking rooks on an n X n chessboard such that the number of distinct distances between the rooks is given by A319476(n).

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%I A320575 #12 Oct 22 2018 01:38:54
%S A320575 1,2,6,2,2,28,2,4,2,8,4,2,2,4
%N A320575 a(n) gives the number of configurations of n non-attacking rooks on an n X n chessboard such that the number of distinct distances between the rooks is given by A319476(n).
%e A320575 For n = 7 the a(7) = 2 boards are mirror images of each other:
%e A320575   +---+---+---+---+---+---+---+
%e A320575 7 |   |   | * |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 6 |   |   |   |   |   | * |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 5 | * |   |   |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 4 |   |   |   | * |   |   |   |
%e A320575   +---+---+---+---+---+---+---+.
%e A320575 3 |   |   |   |   |   |   | * |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 2 |   | * |   |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 1 |   |   |   |   | * |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575     A   B   C   D   E   F   G
%e A320575   +---+---+---+---+---+---+---+
%e A320575 7 |   |   |   |   | * |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 6 |   | * |   |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 5 |   |   |   |   |   |   | * |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 4 |   |   |   | * |   |   |   |
%e A320575   +---+---+---+---+---+---+---+.
%e A320575 3 | * |   |   |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 2 |   |   |   |   |   | * |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575 1 |   |   | * |   |   |   |   |
%e A320575   +---+---+---+---+---+---+---+
%e A320575     A   B   C   D   E   F   G
%Y A320575 Cf. A319476, A320575, A320576, A320448, A320573, A320574.
%K A320575 nonn,more
%O A320575 1,2
%A A320575 _Peter Kagey_, Oct 15 2018
%E A320575 a(10) corrected and a(11)-a(14) from _Giovanni Resta_, Oct 21 2018