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 A226184 #17 Sep 26 2021 01:55:41
%S A226184 3,9,19,32,49,69,93,121,152,187,225,266,312,361,413,469,529,592,658,
%T A226184 729,802,880,961,1045,1133,1225,1320,1419,1521,1627,1736,1849,1966,
%U A226184 2086,2210,2337,2468,2602,2740,2882,3027,3175,3327,3483,3642,3805,3972,4142
%N A226184 Least positive integer k such that 1 + 1/2 + ... + 1/n < 1/(n+1) + ... + 1/(n+k).
%H A226184 Clark Kimberling, <a href="/A226184/b226184.txt">Table of n, a(n) for n = 1..200</a>
%F A226184 a(n) = A226183(n) - n. - _Michel Marcus_, Sep 09 2021
%e A226184 a(3) = 19 because 1/4 + 1/5 + ... + 1/(3+18) < 1 + 1/2 + 1/3 < 1/4 + 1/5 + ... + 1/(3+19).
%t A226184 z = 55; f[n_] := 1/n; p[n_] := p[n] = Sum[f[k], {k, 1, n}]; Do[s = 0; a[n] = NestWhile[# + 1 &, 1, ! (s += f[#]) >= 2 p[n] &], {n, 1, z}]; m = Map[a, Range[z]] (* A226183 *)
%t A226184 m1 = Table[m[[n]] - n, {n, 1, z}] (* A226184 *)
%Y A226184 Cf. A226183, A289183.
%K A226184 nonn
%O A226184 1,1
%A A226184 _Clark Kimberling_, May 30 2013