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A302928
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Maximum number of 4's possible in an infinite Minesweeper grid with n mines.
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4
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0, 0, 0, 2, 2, 4, 6, 6, 7, 8, 10, 12, 12, 13, 14, 16, 18, 18, 19, 21, 22, 24, 24, 26, 28, 30, 30, 31, 33, 34, 36, 36
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OFFSET
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1,4
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COMMENTS
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Question: what is the maximum value possible for (a(n) - n)? The current record is 5, which occurs at n=31.
There is no maximum. We can take k copies of the 17-mine configuration and place them sufficiently far apart to get 18k fours. So a(17k) - 17k >= 18k - 17k = k can get arbitrarily large. A possibly more interesting question is to ask about the maximum ratio a(n)/n. - Yevhenii Diomidov, Jan 19 2022
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LINKS
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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