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 A227629 #7 Dec 04 2016 19:46:32
%S A227629 1,2,1,4,3,2,3,4,6,1,10,6,4,7,3,5,9,2,7,5,3,7,4,5,6,7,10,14,27,1,18,
%T A227629 12,9,7,6,5,9,4,11,7,13,3,11,8,5,7,9,13,25,2,15,9,7,12,5,8,11,17,3,13,
%U A227629 10,7,15,4,13,9,5,11,17,6,7,15,8,9,11,12,14,17
%N A227629 Least splitter of the harmonic numbers H(n) and H(n+1).
%C A227629 See A227631 for the definition of least splitter.
%H A227629 Clark Kimberling, <a href="/A227629/b227629.txt">Table of n, a(n) for n = 1..1000</a>
%e A227629 The first few splitting rationals are 1/1, 3/2, 2/1, 9/4, 7/3, 5/2, 8/3, 11/4, 17/6, 3/1, 31/10, 19/6; e.g. 9/4 splits H(4) and H(5), as indicated by H(4) = 1 + 1/2 + 1/3 + 1/4 = 2.083... < 2.25 < 2.283... = H(5) and the chain H(1) <= 1/1 < H(2) < 3/2 < H(3) < 2/1 < H(4) < 9/4 < ...
%t A227629 h[n_] := h[n] = HarmonicNumber[n]; r[x_, y_] := Module[{c, d}, d = NestWhile[#1 + 1 &, 1, ! (c = Ceiling[#1 x - 1]) < Ceiling[#1 y] - 1 &]; (c + 1)/d]; t = Table[r[h[n], h[n + 1]], {n, 1, 120}];
%t A227629 Denominator[t] (* A227629 *)
%t A227629 Numerator[t] (* A227630 *) (* _Peter J. C. Moses_, Jul 15 2013 *)
%Y A227629 Cf. A227630, A227631.
%K A227629 nonn,frac
%O A227629 1,2
%A A227629 _Clark Kimberling_, Jul 18 2013