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A348129
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Number T(n,k) of ways to place k nonattacking queens on an n X n board; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
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11
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1, 1, 1, 1, 4, 0, 1, 9, 8, 0, 1, 16, 44, 24, 2, 1, 25, 140, 204, 82, 10, 1, 36, 340, 1024, 982, 248, 4, 1, 49, 700, 3628, 7002, 4618, 832, 40, 1, 64, 1288, 10320, 34568, 46736, 22708, 3192, 92, 1, 81, 2184, 25096, 131248, 310496, 312956, 119180, 13848, 352, 1, 100, 3480, 54400, 412596, 1535440, 2716096, 2119176, 636524, 56832, 724
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OFFSET
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0,5
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LINKS
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EXAMPLE
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T(3,2) = 8:
.-----. .-----. .-----. .-----. .-----. .-----. .-----. .-----.
|Q . .| |Q . .| |. . Q| |. . Q| |. . .| |. Q .| |. Q .| |. . .|
|. . Q| |. . .| |. . .| |Q . .| |Q . .| |. . .| |. . .| |. . Q|
|. . .| |. Q .| |. Q .| |. . .| |. . Q| |. . Q| |Q . .| |Q . .|
`-----´ `-----´ `-----´ `-----´ `-----´ `-----´ `-----´ `-----´.
Triangle T(n,k) begins:
1;
1, 1;
1, 4, 0;
1, 9, 8, 0;
1, 16, 44, 24, 2;
1, 25, 140, 204, 82, 10;
1, 36, 340, 1024, 982, 248, 4;
1, 49, 700, 3628, 7002, 4618, 832, 40;
1, 64, 1288, 10320, 34568, 46736, 22708, 3192, 92;
1, 81, 2184, 25096, 131248, 310496, 312956, 119180, 13848, 352;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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