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Search: id:A136616
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| A136616 |
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a(n) = largest m with H(m) - H(n) <= 1, where H(i) = sum{j=1 to i} 1/j, the i-th harmonic number, H(0)=0. |
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+0
4
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| 1, 3, 6, 9, 11, 14, 17, 19, 22, 25, 28, 30, 33, 36, 38, 41, 44, 47, 49, 52, 55, 57, 60, 63, 66, 68, 71, 74, 76, 79, 82, 85, 87, 90, 93, 96, 98, 101, 104, 106, 109, 112, 115, 117, 120, 123, 125, 128, 131, 134, 136, 139, 142, 144, 147, 150, 153, 155, 158, 161, 163, 166
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = floor( e*n + (e-1)/2 + (e - 1/e)/(24*(n + 1/2))), after a suggestion by David Cantrell
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EXAMPLE
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a(3) = 9 because H(9)-H(3) = 1/4+...+1/9 < 1 < 1/4+...+1/10 = H(10)-H(3)
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MAPLE
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A136616 := n -> floor( e*n + (e-1)/2 + (e - 1/e)/(24*(n + 1/2)));
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CROSSREFS
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Cf. A002387, A004080, A079353, A096618, A115515, A014537, A055980.
Adjacent sequences: A136613 A136614 A136615 this_sequence A136617 A136618 A136619
Sequence in context: A094740 A047400 A054414 this_sequence A121384 A151926 A145283
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KEYWORD
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easy,nonn
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AUTHOR
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Rainer Rosenthal (r.rosenthal(AT)web.de), Jan 13 2008
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EXTENSIONS
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Definition corrected by David W. Cantrell, Apr 14 2008
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