OFFSET
0,3
COMMENTS
Sums of rows of triangle in A118013.
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]
FORMULA
a(n) = Sum_{k=1..n} A118013(n,k).
a(n) ~ (gamma + log(n)) * n^2, where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Dec 22 2020
MAPLE
Digits:=200; f:=n->add(floor( n^2/k ), k=1..n );
MATHEMATICA
Table[Total[Floor[n^2/Range[n]]], {n, 0, 60}] (* Harvey P. Dale, Jun 04 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Apr 10 2006
EXTENSIONS
Edited by N. J. A. Sloane, Oct 28 2008
STATUS
approved