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 A194070 #5 Mar 30 2012 18:57:39 %S A194070 1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,1,2, %T A194070 3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11, %U A194070 12,1,2,3,4,5,6,7,8,9,10,11,12,13,14,1,2,3,4,5,6,7,8,9,10,11,12 %N A194070 Natural fractal sequence of A194069. %C A194070 See A194029 for definitions of natural fractal sequence and natural interspersion. %t A194070 z = 70; %t A194070 c[k_] := 1 + Floor[(2/3) k^2]; %t A194070 c = Table[c[k], {k, 1, z}] (* A194069 *) %t A194070 f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]] %t A194070 f = Table[f[n], {n, 1, 300}] (* A194070 *) %t A194070 r[n_] := Flatten[Position[f, n]] %t A194070 t[n_, k_] := r[n][[k]] %t A194070 TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]] %t A194070 p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194071 *) %t A194070 q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194072 *) %Y A194070 Cf. A194029, A194069, A194071. %K A194070 nonn %O A194070 1,2 %A A194070 _Clark Kimberling_, Aug 14 2011