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 A069627 #7 Dec 23 2020 03:04:15 %S A069627 0,0,1,5,12,22,35,53,74,101,129,162,202,244,292,344,403,463,527,601, %T A069627 676,762,844,937,1035,1138,1245,1355,1476,1597,1726,1862,2002,2149, %U A069627 2300,2454,2621,2784,2957,3136,3323,3515,3707,3914,4119,4338,4551,4782,5012,5250 %N A069627 Sum_{k=1..n} floor(n*(n-1)/(2*k)). %C A069627 The old entry with this sequence number was a duplicate of A072137. %F A069627 a(n) ~ n^2 * (gamma + log(n))/2, where gamma is the Euler-Mascheroni constant A001620. - _Vaclav Kotesovec_, Dec 23 2020 %p A069627 f:=n->add(floor( n*(n-1)/(2*k) ),k=1..n ); %Y A069627 Cf. A006218, A118014. %K A069627 nonn %O A069627 0,4 %A A069627 _N. J. A. Sloane_, Oct 28 2008