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Search: id:A128437
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A128437 a(n) = floor((numerator of H(n))/n), where H(n) = sum{k=1 to n} 1/k, the n-th harmonic number. +0
2
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)
OFFSET

1,3

COMMENT

Numerator of H(n) is a(n)*n + A126083(n).

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

a(6)=8 because H(6)=49/20 and floor(49/6)=8.

MAPLE

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

CROSSREFS

Cf. A128438, A001008, A126083.

Sequence in context: A058258 A005646 A033194 this_sequence A064283 A014561 A034502

Adjacent sequences: A128434 A128435 A128436 this_sequence A128438 A128439 A128440

KEYWORD

nonn

AUTHOR

Leroy Quet Mar 03 2007

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 22 2007

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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