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A181534
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Minimum number of rounds to be played to decide a two-player game of up to n rounds in which the winner of round j receives j points.
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1
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1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, 34, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48, 48
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OFFSET
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1,2
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COMMENTS
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The game described above is played in the German TV Show 'Schlag den Raab'.
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LINKS
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EXAMPLE
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For n = 15, the maximum number of rounds per game in the show, a(n) = 11. So there are at least eleven rounds to be played in each game.
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MATHEMATICA
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Table[ Ceiling[ -1/2 + Sqrt[1/4 + 2 Ceiling[(n^2 + n + 2)/4]]], {n, 1, 50} ]
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PROG
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CROSSREFS
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KEYWORD
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nice,nonn,easy
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AUTHOR
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Oliver Gronau (ogronau(AT)web.de), Oct 29 2010
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EXTENSIONS
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STATUS
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approved
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