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 A067085 #10 Dec 20 2015 13:33:08
%S A067085 1,1,2,2,3,3,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,9,9,9,9,9,9,10,
%T A067085 10,10,10,10,10,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,
%U A067085 13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,16
%N A067085 a(n) = floor(Sum_{k=1..n} 1/k^(1/2)).
%H A067085 Harry J. Smith, <a href="/A067085/b067085.txt">Table of n, a(n) for n = 1..1000</a>
%F A067085 A well-known inequality is 2*n^1/2 - 2 < b(n) < 2*n^1/2 - 1.
%e A067085 a(4) = floor(1 + 1/sqrt(2) + 1/sqrt(3) + 1/sqrt(4)) = floor(2.78445705037617328890999314260681) = 2.
%t A067085 Table[ Floor[ Sum[1/k^(1/2), {k, 1, n} ]], {n, 1, 75} ]
%o A067085 (PARI) { s=0; for (n=1, 1000, s+=1/n^(1/2); write("b067085.txt", n, " ", floor(s)) ) } \\ _Harry J. Smith_, May 10 2010
%K A067085 easy,nonn
%O A067085 1,3
%A A067085 _Amarnath Murthy_, Jan 07 2002
%E A067085 More terms from _Robert G. Wilson v_, Jan 09 2002
%E A067085 Terms added by _Harry J. Smith_, May 10 2010