This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A118014 #15 Sep 13 2024 00:39:33 %S A118014 0,1,6,16,33,56,88,125,172,227,291,363,445,533,633,743,861,989,1128, %T A118014 1275,1434,1601,1779,1967,2170,2376,2597,2827,3072,3324,3588,3859, %U A118014 4143,4439,4749,5070,5399,5738,6091,6458,6834,7221,7618,8027,8448,8884,9329,9783 %N A118014 a(n) = Sum_{k=1..n} floor(n^2/k). %C A118014 Sums of rows of triangle in A118013. %C A118014 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] %F A118014 a(n) = Sum_{k=1..n} A118013(n,k). %F A118014 a(n) ~ (gamma + log(n)) * n^2, where gamma is the Euler-Mascheroni constant A001620. - _Vaclav Kotesovec_, Dec 22 2020 %p A118014 Digits:=200; f:=n->add(floor( n^2/k ),k=1..n ); %t A118014 Table[Total[Floor[n^2/Range[n]]],{n,0,60}] (* _Harvey P. Dale_, Jun 04 2023 *) %Y A118014 Cf. A006218, A069627, A118013. %K A118014 nonn %O A118014 0,3 %A A118014 _Reinhard Zumkeller_, Apr 10 2006 %E A118014 Edited by _N. J. A. Sloane_, Oct 28 2008