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Search: id:A128437
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| A128437 |
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a(n) = floor((numerator of H(n))/n), where H(n) = sum{k=1 to n} 1/k, the n-th harmonic number. |
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+0
2
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| 1, 1, 3, 6, 27, 8, 51, 95, 792, 738, 7610, 7168, 88153, 83695, 79717, 152284, 2478954, 793016, 14489252, 2791756, 898002, 867872, 19318117, 56159289, 1362100898, 1322913164, 11575416740, 11264449603, 318174017634, 310156094338
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Numerator of H(n) is a(n)*n + A126083(n).
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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a(6)=8 because H(6)=49/20 and floor(49/6)=8.
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MAPLE
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H:=n->sum(1/k, k=1..n): a:=n->floor(numer(H(n))/n): seq(a(n), n=1..35); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 22 2007
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CROSSREFS
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Cf. A128438, A001008, A126083.
Adjacent sequences: A128434 A128435 A128436 this_sequence A128438 A128439 A128440
Sequence in context: A058258 A005646 A033194 this_sequence A064283 A014561 A034502
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Mar 03 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 22 2007
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