login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A128437 a(n) = floor((numerator of H(n))/n), where H(n) = Sum_{k=1..n} 1/k, the n-th harmonic number. 1
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; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Table of n, a(n) for n=1..30.

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, Mar 22 2007

PROG

(PARI) a(n) = numerator(sum(k=1, n, 1/k))\n; \\ Michel Marcus, Feb 01 2019

CROSSREFS

Cf. A128438, A001008, A126083.

Sequence in context: A005646 A033194 A304051 * A200654 A208665 A256762

Adjacent sequences:  A128434 A128435 A128436 * A128438 A128439 A128440

KEYWORD

nonn

AUTHOR

Leroy Quet, Mar 03 2007

EXTENSIONS

More terms from Emeric Deutsch, Mar 22 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 20:23 EDT 2019. Contains 328273 sequences. (Running on oeis4.)