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A118014 Sum_{k=1..n} floor(n^2/k). 6

%I

%S 0,1,6,16,33,56,88,125,172,227,291,363,445,533,633,743,861,989,1128,

%T 1275,1434,1601,1779,1967,2170,2376,2597,2827,3072,3324,3588,3859,

%U 4143,4439,4749,5070,5399,5738,6091,6458,6834,7221,7618,8027,8448,8884,9329,9783

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

%C Sums of rows of triangle in A118013.

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

%C 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]

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

%Y Cf. A006218, A069627.

%K nonn

%O 0,3

%A _Reinhard Zumkeller_, Apr 10 2006

%E Edited by _N. J. A. Sloane_, Oct 28 2008

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Last modified February 22 09:07 EST 2020. Contains 332133 sequences. (Running on oeis4.)