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 A194074 #5 Mar 30 2012 18:57:39 %S A194074 1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7, %T A194074 8,9,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5, %U A194074 6,7,8,9,10,11,12,13,14,15,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 %N A194074 Natural fractal sequence of A194073. %C A194074 See A194029 for definitions of natural fractal sequence and natural interspersion. %t A194074 z = 70; %t A194074 c[k_] := 1 + Floor[(3/4) k^2]; %t A194074 c = Table[c[k], {k, 1, z}] (* A194073 *) %t A194074 f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]] %t A194074 f = Table[f[n], {n, 1, 300}] (* A194074 *) %t A194074 r[n_] := Flatten[Position[f, n]] %t A194074 t[n_, k_] := r[n][[k]] %t A194074 TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]] %t A194074 p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194075 *) %t A194074 q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194076 *) %Y A194074 Cf. A194073, A194075. %K A194074 nonn %O A194074 1,2 %A A194074 _Clark Kimberling_, Aug 14 2011