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A187856
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Number of 8-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions
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1
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0, 0, 49536, 7067600, 71450504, 288493336, 741624088, 1474319716, 2497432760, 3806665836, 5395343360, 7259273932, 9396774760, 11807403172, 14491089616, 17447829164, 20677621816, 24180467572, 27956366432, 32005318396, 36327323464
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OFFSET
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1,3
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 136526552*n^2 - 1275583564*n + 2906368876 for n>13
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EXAMPLE
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Some solutions for 3X3
..8..5..2....0..8..4....5..4..3....8..4..6....0..4..7....8..4..5....8..4..1
..7..6..1....3..7..1....8..2..6....5..3..7....5..2..8....2..0..7....7..2..3
..4..3..0....6..5..2....0..1..7....0..1..2....1..6..3....1..6..3....5..6..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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