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A180020
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Numbers k such that the relation 1 - d!/((d-i)!d^i) > 1/2 holds for integers d > 2 between i-1 and n+i-1.
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0
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0, 0, 3, 4, 7, 7, 9, 10, 12, 14, 14, 17, 17, 19, 21, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 46, 48, 49, 51, 53, 53, 55, 57, 58, 60, 60, 63, 64, 65, 67, 68, 69, 71, 73, 74, 75, 77, 78, 80, 81, 83, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 98, 100, 101
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OFFSET
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1,3
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COMMENTS
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The expression is the "birthday problem" probability out of d equally possible birthdays, while i is the smallest integer for which the relation holds given d, and k is the number of values of d for which the relation holds given i.
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LINKS
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CROSSREFS
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Equals the first order difference of A180005 plus one.
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KEYWORD
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nonn
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AUTHOR
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Mario O. Bourgoin (mob(AT)brandeis.edu), Aug 06 2010
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STATUS
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approved
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