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 A194053 #5 Mar 30 2012 18:57:39
%S A194053 1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,1,2,3,4,
%T A194053 5,6,7,8,9,10,11,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,
%U A194053 12,13,14,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8
%N A194053 Natural fractal sequence of A054347.
%C A194053 See A194029 for definitions of natural fractal sequence and natural interspersion.
%t A194053 z = 40; g = GoldenRatio
%t A194053 c[k_] := Sum[Floor[j*g], {j, 1, k}];
%t A194053 c = Table[c[k], {k, 1, z}] (* A054347 *)
%t A194053 f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]
%t A194053 f = Table[f[n], {n, 1, 800}] (* A194053 *)
%t A194053 r[n_] := Flatten[Position[f, n]]
%t A194053 t[n_, k_] := r[n][[k]]
%t A194053 TableForm[Table[t[n, k], {n, 1, 8}, {k, 1, 7}]]
%t A194053 p = Flatten[Table[t[k, n - k + 1], {n, 1, 16}, {k, 1, n}]] (* A194054 *)
%t A194053 q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A194058 *)
%Y A194053 Cf. A194029.
%K A194053 nonn
%O A194053 1,2
%A A194053 _Clark Kimberling_, Aug 15 2011