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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A118014 Sum_{k=1..n} floor(n^2/k). 6
0, 1, 6, 16, 33, 56, 88, 125, 172, 227, 291, 363, 445, 533, 633, 743, 861, 989, 1128, 1275, 1434, 1601, 1779, 1967, 2170, 2376, 2597, 2827, 3072, 3324, 3588, 3859, 4143, 4439, 4749, 5070, 5399, 5738, 6091, 6458, 6834, 7221, 7618, 8027, 8448, 8884, 9329, 9783 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sums of rows of triangle in A118013.

a(n) = Sum(A118013(n,k): 1<=k<=n}.

Generalized sequence: a(n)= Sum_{k=1..n} floor((k*t + n^2)/k) = t*n + Sum_{k=1..n} floor(n^2/k) = t*A000027(n)+ A118014(n). This sequence has t=0. [From Ctibor O. Zizka, Feb 14 2009]

LINKS

Table of n, a(n) for n=0..47.

MAPLE

Digits:=200; f:=n->add(floor( n^2/k ), k=1..n );

CROSSREFS

Cf. A006218, A069627.

Sequence in context: A201055 A071857 A099399 * A236773 A131820 A266677

Adjacent sequences:  A118011 A118012 A118013 * A118015 A118016 A118017

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 10 2006

EXTENSIONS

Edited by N. J. A. Sloane, Oct 28 2008

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 October 18 12:24 EDT 2018. Contains 316321 sequences. (Running on oeis4.)