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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006591 Sum_{k = 1..n } nearest integer to n/k (if n/k is midway between two numbers take the smaller).
(Formerly M2434)
0
1, 3, 5, 8, 11, 14, 17, 22, 24, 28, 33, 36, 40, 45, 48, 53, 57, 62, 66, 71, 74, 79, 86, 89, 93, 99, 102, 109, 114, 117, 122, 129, 133, 138, 143, 148, 152, 159, 164, 169, 175, 178, 185, 190, 193, 202, 207, 212, 215, 223, 227, 232, 241, 244, 249, 256, 259, 266, 273 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Marc LeBrun, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..59.

M. Le Brun, Email to N. J. A. Sloane, Jul 1991

EXAMPLE

a(3) = 3 + 1 + 1 = 5. a(7) = 17 = 7 + 3 + 2 + 2 + 1 + 1 + 1.

MATHEMATICA

rnd[n_] := If[Mod[n, 1] > .5, Ceiling[n], Floor[n]]; Table[ Sum[ rnd[ n/k], {k, 1, n} ], {n, 1, 70} ]

CROSSREFS

Cf. A006218.

Sequence in context: A094228 A278586 A001855 * A287414 A052488 A076372

Adjacent sequences:  A006588 A006589 A006590 * A006592 A006593 A006594

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Robert G. Wilson v, Oct 22 2001

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 18 17:08 EST 2018. Contains 299325 sequences. (Running on oeis4.)