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.

A194055 Natural fractal sequence of A000071 (Fibonacci numbers minus 1).

This page as a plain text file.
%I A194055 #15 Dec 26 2023 10:19:04
%S A194055 1,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,10,11,12,13,
%T A194055 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,1,2,3,4,5,6,7,
%U A194055 8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29
%N A194055 Natural fractal sequence of A000071 (Fibonacci numbers minus 1).
%C A194055 See A194029 for definitions of natural fractal sequence and natural interspersion.
%t A194055 z = 50;
%t A194055 c[k_] := -1 + Fibonacci[k + 2]
%t A194055 c = Table[c[k], {k, 1, z}] (* A000071, F(n+2)-1 *)
%t A194055 f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]
%t A194055 f = Table[f[n], {n, 1, 300}]   (* A194055 *)
%t A194055 r[n_] := Flatten[Position[f, n]]
%t A194055 t[n_, k_] := r[n][[k]]
%t A194055 TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]]
%t A194055 p = Flatten[Table[t[k, n - k + 1], {n, 1, 11}, {k, 1, n}]] (* A194056 *)
%t A194055 q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 70}]]  (* A194057 *)
%Y A194055 Cf. A194029, A000071, A194056, A194057.
%K A194055 nonn
%O A194055 1,3
%A A194055 _Clark Kimberling_, Aug 13 2011