cp's OEIS Frontend

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.

A194074 Natural fractal sequence of A194073.

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%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