A118014 - OEIS

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A118014

Sum_{k=1..n} floor(n^2/k).

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((kt + n^2)/k) = tn + 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`

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Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)