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 A194107 #5 Mar 30 2012 18:57:40
%S A194107 1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,10,1,2,
%T A194107 3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,3,4,5,6,7,8,
%U A194107 9,10,11,12,13,14,15,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17
%N A194107 Natural fractal sequence of A194106.
%C A194107 See A194029 for definitions of natural fractal sequence and natural interspersion.
%t A194107 z = 40; g = Sqrt[3];
%t A194107 c[k_] := Sum[Floor[j*g], {j, 1, k}];
%t A194107 c = Table[c[k], {k, 1, z}] (* A194106 *)
%t A194107 f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]
%t A194107 f = Table[f[n], {n, 1, 800}] (* A194107 *)
%t A194107 r[n_] := Flatten[Position[f, n]]
%t A194107 t[n_, k_] := r[n][[k]]
%t A194107 TableForm[Table[t[n, k], {n, 1, 8}, {k, 1, 7}]]
%t A194107 p = Flatten[Table[t[k, n - k + 1], {n, 1, 16}, {k, 1, n}]] (* A194108 *)
%t A194107 q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A194109 *)
%Y A194107 Cf. A194029, A194106, A194108.
%K A194107 nonn
%O A194107 1,2
%A A194107 _Clark Kimberling_, Aug 15 2011