

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
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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 * A310027 A310028 A287414
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



